The length of the longer leg of a 30-60-90 triangle is 18. What is the length of the short leg? What is the length of thehypotenuse?1)A)short leg = 6/3: hypotenuse = 123B)short leg 62; hypotenuse = 12 2C)short leg 6; hypotenuse =D)short leg 9: hypotenuse = 93

Consider the diagram of the triangle given below, Solve for the hypotenuse as, cos30°=Adjacent…

Answered: The length of the longer leg of a…

The length of the longer leg of a 30-60-90 triangle is 18. What is the length of the short leg? What is the length of the hypotenuse?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.5: Inequalities In A Triangles

Problem 19E: Two of the sides of an isosceles triangle have lengths of 10cm and 4cm. Which length must be the...

See similar textbooks

Related questions

Q: 4. The lengths of the legs of a right triangle are 4 and 5. What is the length of the hypotenuse?

A: Answer (4) Given , The lengths of the legs of the right triangles are 4 & 5 We have to find…

Q: Find the remaining sides of a 30° – 60° Dash 90° triangle if the longest side is 11?

Q: A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 6…

A: A toy manufacturer needs a piece of plastic in the shape of a right triangle. The longer leg 6 cm…

Q: if you quadrilateral below is a square, find the measure.

Q: The longer leg of a 30°-60°-90° triangle is 16/3. How long is the shorter leg

Q: The length of the hypotenuse of an isosceles right triangle is 82. What is the length of each leg of…

A: The length of the hypotenuse of an isosceles right triangle is 82. We have to find the length of…

Q: Find the length of the hypotenuse on a right triangle if the other sides have lengths of 5 cm and 12…

Q: the area of a circle is 64π cm^2 if the diameter of the circle is equal to the side length of a…

A: According to the given question, Area of circle = 64π ⇒ π×r2 = 64 π⇒ r = 8 Diameter of…

Q: A man mowing his four-sided yard is unable to remember all of its dimensions. He remembers that one…

A: A man mowing his four-sided yard is unable to remember all of its dimensions. He remembers that…

Q: Given, the length of two leg of a right triangle is longer leg 20, shorter leg 15. Find the…

Q: What is the length of the hypotenuse of a 45°-45°-90° triangle with leg length 5/3?

A: Since, we have been given a 45°-45°-90° triangle, so by this we can conclude that if a triangle has…

Q: long

Q: the length of a hypotenuse of a 30-60-90 triangle is 17 yards. What is the length of the other two…

A: Given

Q: What are the other two sides of a 30°−60°−90° triangle if the side opposite the 30° is 18?

A: the other two sides are 183 and 36 the explanation is given below

Q: In triangle ABC, the size of angle B is 5 times the size of angle A, and the size of angle C is…

A: Given: In triangle ABC, the size of angle B is 5 times the size of angle A, and the size of angle…

Q: Find the exact length of a hypotenuse of a 45°-45°-90° right triangle if one leg measures 13…

A: If two angles of a triangle are congruent, then the sides opposite those angles are congruent. let…

Q: In a 30-60-90 triangle, the longer leg is times as long as the shorter leg

Q: What is the length of the side of an equilateral triangle if the height is 10√3?

Q: The measures of three angles in triangle are in the ratio of 1:2:3.What is the length of the longest…

A: Let x be the shortest angle. Since sum of angles of a triangle is π so x+2x+3x=π. Solving for x:…

Q: The length of one leg of a 45 – 45 – 90 triangle is 7 m. What is the length of the other leg and the…

A: Proceed as shown below

Q: The hypotenuse of a 30-60-90 triangle is 30. What is the length of one of it's legs?

A: Given triangle have angle 30-60-90, hypotenuse = 30Hence it is right angle triangleSo,legs if base…

Q: If the area of the triangular prism is 460 and the hieght of the prism is 12, what is the length

A: In triangular prism we have two triangle and three rectangle and all sides of triangle are equal for…

Q: One leg of a right triangle measures 25, and the length of the hypotenuse is 65. Determine the…

Q: Triangle ABC has an area of 4 3/8 square feet. If the length of AC is 1 2/3 feet, what is the length…

A: given,triangle ABC has an area of 438sq.ft. and the length of AC is 123ft.to find:the length of…

Q: The lengths of two sides of a triangle are 4 feet and 7 feet. Which could NOT be the length of the…

A: Given, The lengths of two sides of a triangle are 4 feet and 7 feet. We have to find which could…

Q: Find the length of the missing side. a 3.

A: Since, one of the angle is 90 degree. Then, Pythagoras theorem will be applied here. As per…

Q: a right triangle, angle λ has a measure of 19º. If the hypotenuse of this right triangle has a…

Q: What is the length of the hypotenuse in triangle MNO?

A: given,

Q: One leg of a right triangle is 28 inches longer than the other leg, and the hypotenuse is 52 inches.…

Q: The area of Square 2 is 110 units 2. The area of Square 3 is 115 units?. What is the length of the…

A: We are going to use the concepts of area of a square and Pythagoras theorem to solve the given…

Q: In a 30-60- 90 triangle, the shortest leg is 6, what is the length of the longest leg and the…

Q: If the legs of a right triangle are 16 centimeters and 30 centimeters in length, how long is the…

A: Hypotunes is always the longest side in a right angle triangle Here we all can do is use the below…

Q: If one side of an equilateral triangle measures 10, what is the perimeter of the triangle

A: The side of an equilateral triangle is 10 units. The objective is to find the perimeter of the…

Q: If the shortest side in a 30∘−60∘−90∘30∘-60∘-90∘ triangle is 1212 inch long, find the lengths of the…

Q: A 30 60 90 ° has a short leg with length of 15cm, which could be the lengths of the other two sides…

Q: The two shorter sides of a right triangle have the same length. The area of the right triangle is…

Q: Find

Q: The design of a garden path uses stone pieces shaped as squares with a side length of 15 in. Find…

A: Given , The design of a garden path uses stone pieces shaped as squares with a side length of 15…

Q: The area of a square is 2√2+3.What is the length of a side of the square?

A: Let us assume that the side of the square is denoted by letter 'x'. The area of this square will…

Q: 9. If the hypotenuse of the right triangle measures 25 meters, and one leg is 17 meters more than…

Q: b =4 cm а 3 3 ст

Q: In a right triangle 45⁰‐45⁰‐90⁰, if the length of the leg is 7in, what is the

Q: A racetrack is in the shape of an elli0se, 280 feet long and 50 feet wide. What is the width 10 feet…

A: Given that

Q: What is the length, in inches, of the side labeled w on Card 2?

A: length of small rectangle: 3 in width of small rectangle: 2 in length of big rectangle: 12 in…

Q: The perimeter of a yield sign in the shape of an isosceles triangle is 22 feet. If the shortest side…

A: The perimeter of a yield sign in the shape of an isosceles triangle=22 feet Let the length of…

Q: How do you find the remaining sides of a 45-45-90 triangle if the longest side is 28?

Q: The shortest leg of a 30-60-90 triangle is 5 inches. How long is the hypotenuse? O 10 inches

A: The angles in the right triangle is 30-60-90, So the sides in the triangle are in the ratio, 1:√3:2…

Q: A city planner in Phoenix, Arizona wants make sure that the distance between a proposed skyscraper…

A: Given condition is not possible: Either we can have ∠A, AC and ABOR we can have ∠A, AC and ∠C. We…

Q: the shorter leg of a 30-60-90 triangle is 7, what is the length of the hypotenuse

A: given,

Q: How to find the length of a leg of a triangle if the length of the hypotenuse is 14 meters and the…

A: Find the length of a leg of a triangle if the length of the hypotenuse is 14 meters and the length…

Question

The length of the longer leg of a 30-60-90 triangle is 18. What is the length of the short leg? What is the length of the
hypotenuse?
1)
A)
short leg = 6/3: hypotenuse = 123
B)
short leg 62; hypotenuse = 12 2
C)
short leg 6; hypotenuse =
D)
short leg 9: hypotenuse = 93

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Pythagoras' Theorem$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

A carpenter lays out boards of lengths 8 ft, 8 ft, 4 ft, and 4 ft by placing them end to end. a If these are joined at the ends to form a quadrilateral that has the 8-ft pieces connected in over, what type of quadrilateral is formed? b If these are joined at the ends to form a quadrilateral that has the 4-ft and 8-ft pieces alternating, what type of quadrilateral is formed?
In quadrilateral ABCD, the midpoints of opposite sides are joined to form two intersecting segments. Try drawing other quadrilaterals and joining opposite midpoints. What can you conclude about these segments in each case?
a Is it really necessary to construct all three bisectors of the angles of a triangle to locate its incenter? b Is it really necessary to construct all three perpendicular bisectors of the sides of a triangle to locate its circumcenter?
The sum of the measures of all three angles of the triangle in Review Exercise 30 is 180. If the sum of the measures of angles 1 and 2 is more than 130. what can you conclude about the measure of angle 3? 30.
A trapezoid is a four-sided figure that contains one pair of parallel sides. Which sides of the trapezoid MNPQ appear to be parallel?
In quadrilateral RSTV, the midpoints of consecutive sides are joined in order. Try drawing other quadrilaterals and joining their midpoints. What can you conclude about the resulting quadrilateral in each case?
When the rectangle in the accompanying drawing whose dimensions are 16 by 9 is cut into pieces and rearranged, a square can be formed. What is the perimeter of this square?
Two of the sides of an isosceles triangle have lengths of 10cm and 4cm. Which length must be the length of the base?
A regular polygon of n sides has an exterior angle whose measure is 12 degrees larger than the measure of the exterior angle of the regular polygon with n 1 sides. Find n and name the type of polygon that has n sides.
Two sets of rails railroad tracks are equally spaced intersect but not at right angles. Being as specific as possible, indicate what type of quadrilateral WXYZ is formed.
In a right triangle, the sides that form the right angle are the legs; the longest side opposite the right angle is the hypotenuse. Some textbooks say that when two right triangles have congruent pairs of legs, the right triangles are congruent by the reason LL. In our work, LL is just a special case of one of the postulates in this section. Which postulate is that?
The perimeter of an isosceles triangle is 32cm. If the length of the altitude drawn to the base is 8cm, how long is each leg of the isosceles triangle?_