6. A right triangle has a leg with a length of7 units anda hypotenuse of 14 units. Sarah says that this mustbe a 30-60-90 triangle.Select the true statementsSarah is incorrect, it's a 45-45-90.The measure of the remaining leg is 7The measure of the remaining leg is 7V3The angle opposite the 7 unit side measures 30 degreesThe perimeter of the triangle is 28 units.Sarah is incorrect, it's 45-45-90O The measure of the remaining leg is 7O The measure of the remaining leg is 7 square roots of 3O The angle opposite the 7 unit side measures 30 degreesO The perimeter of the triangle is 28 units

Answered: Image /qna-images/answer/638b0c82-e54f-455c-abea-3860de533d19.jpg

Answered: 6. A right triangle has a leg with a…

6. A right triangle has a leg with a length of 7 units and a hypotenuse of 14 units. Sarah says that this must be a 30-60-90 triangle.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter4: Quadrilaterals

Section4.3: The Rectangle, Square, And Rhombus

Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...

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: A right triangle has legs of 7 and 3. What is the length of the hypotenuse?

Q: If the hypotenuse of the triangle below is 14, what is the leg? 45

A: In right angle traingle we have to find leg side

Q: When asked to draw a quadrilateral with all four sides measuring 5 cm, Jada drew a square. 5 cm 5 cm…

Q: When the rectangle in the accompanying drawing (whose dimensions are 16 by 9) is cut into pieces and…

A: Given that the rectangle whose dimension is 16 by 9 cut into piece and rearranged, a square can be…

Q: If the hypotenuse of a 30-60-90 triangle is 16 yards, what is the length of the short leg?

Q: 4. What is the perimeter of a 30°- 60°-90° triangle whose hypotenuse is 12 cm long? a. 12 + 6V3 b.…

Q: 1. What is the hypotenuse of a triangle whose legs are 10 and 24.

Q: 6. What is the difference between the sum of the measures of the interior angles of a regular…

Q: Builders are wanting to place a movie theater equidistant from three towns. If these three towns…

A: Step:-1 Point of Concurrency :- A point on which three or more lines intersect is called Point of…

Q: Can the sides of a triangle have lengths 1.4, 2.6, and 8.1? yes no

Q: If 3 and 4 are the legs of a right triangle, the hypotenuse is_______?

A: If 3 and 4 are the legs of a right triangle, the hypotenuse is_______. By using Pythagorean theorem,…

Q: 5. If two polygons are SIMILAR, then the corresponding sides must be [A] proportional [B] similar…

A: A option is correct. ProportionalThere are two conditions (tests) for two polygons to be similar:…

Q: Anish said that he made a triangle that had side lengths of 5 units, 5 units and 5 units. Is this a…

Q: If one leg of a right triangle is 8 and the hypotenuse is 10, what is the measure of the other leg?

Q: If the hypotenuse of a right triangle is 10 and one leg is 4, what is the length of the other leg?

Q: Approximate the remaining parts of triangle ABC.β = 115°, a = 4.6, c = 7.3

A: Given The triangle ABC having β = 115°, a = 4.6, c = 7.3 .

Q: %23 What is RN? * Quadrilateral MNPQ is shown. N. 4.1 30 32 M Q If MP = 5.9, what is RN?

Q: 3) Explain why a triangle ABC is not possible if B = 39.8°, a = 12.5, b = 7.31.

Q: 5 3 What is the length of the hypotenuse in this triangle? 4

Q: What is the perimeter of a triangle with the vertices (0,7) (0,1) and (4,7)

A: Given : Vertices of the triangle 0,7, (0,1) and (4,7)

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: Draw a right triangle with legs of 3.5 m and 2.5 m, and hypotenuse of 4.3 m. find the perimeter and…

Q: The two longer sides of a triangle are 24 and 25. a. What would be the length of the third side to…

Q: If a = -163° and B = 31°,what is the measure of 0? %3D m20 = メ of

Q: William is building a gazebo and wants to brace each corner by placing a 12-inch wooden far below…

Q: 3. What is the length of the legs of the triangle if the hypotenuse of an isosceles right triangle…

A: In an isosceles right triangle, legs are congruent. And its a 45-45-90 special right triangle Where…

Q: Can the sides of a triangle have lengths 0.5, 0.6, and 1.8? yes no

A: According to the first triangle inequality theorem, the lengths of any two sides of a triangle must…

Q: I will determine if the three given sides make a triangle the three given length of 4 inches, 5…

Q: 3. The hypotenuse of a 30-60-90 triangle is 16, find the length of both legs.

A: 3) The given triangle is 30-60-90 triangle. The hypotenuse is given as 16. Sketch the triangle as…

Q: 4. The hypotenuse of an isosceles right triangle is 12V2. Find the lengths of the other sides.

A: On solving this we will get

Q: 2. What is the perimeter of a 30°- 60°- 90° Right Triangle, whose shorter leg is 7 inches long?…

Q: 4. The longer leg of a 30-60-90 triangle is 12, find the other two sides of the triangle.

A: 4) The given triangle is 30-60-90 triangle. The longer leg of the triangle is 12. It is known that…

Q: Which triangle has a side length of 45 cm? 16

A: Topic:- sequence and series

Q: What is the length of the hypotenuse for a right triangle with legs of length 7 and 24? O 27 О 26 28…

A: To find the length of hypotenuse we can use Pythagoras formula.

Q: 3. The length of a hypotenuse of a 30-60-90 triangle is 17 yards. What is the length of the other…

A: In a 30-60-90 triangle Short side:1 Hyptenuse:2 Long side: 3 Cos (60) =shortlop p=12 ⇒Short=1,hyp=2…

Q: 1.A table cloth is cut into a parallelogram in which two opposite angles measure (8x+34)° and…

A: As we know, by the property of parallelogram that the measure of opposite angles is same. So, ∠A =…

Q: Can the sides of a triangle have lengths 2.4, 0.9, and 1.5? yes no

A: Check if the given sides make a triangle

Q: Can the sides of a triangle have lengths 1.7, 5.5, and 7.2? yes no

Q: 1. The hypotenuse of a 45-45-90 triangle is 5, find the length of each leg.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. Is a triangle that has sides with lengths of 24 kilometers, 45 kilometers, and 51 km, acute,…

Q: The area of a triangle with vertices ( — 2, 0), (9, 0), and (3. 6) is____?

A: Given: Vertices of triangle are ( — 2, 0), (9, 0), and (3, 6) To determine: Area of a triangle.

Q: You cut a rope into two pieces. With one piece, you make an equilateral triangle, and with the…

A: Let the total length of the rope is 20 m. Let the length cut for the square be x. Therefore, the…

Q: Determine the missing leg length for a right triangle with hypotenuse 13.8 and a leg of 7.8

A: Consider a right triangle with hypotenuse 13.8 and a leg of 7.8 Let the missing leg length is 'x'…

Q: 11. For what value of x is the quadrilateral a parallelogram?

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

Q: 13. The perimeter of rhombus ABCD is 60 feet and .ZABC = 60. What are the lengths of the diagonals?…

A: Given, Perimeter of Rhombus = 60 feet Diagonals of a rhombus bisect angles at vertices.Diagonals of…

Q: 5. What is the length of the missing side of the triangle?

A: Given, A triangle is shown below :

Q: 9. The hypotenuse of a 30°-60°-90°triangle has a length of 12 cm. Which couldb the length of a leg…

Q: 2) Select all true options about the triangle below. (L2) 600 12 cm X= 4/3 у-24 X-6 y=8v3

Question

6. A right triangle has a leg with a length of7 units and
a hypotenuse of 14 units. Sarah says that this must
be a 30-60-90 triangle.
Select the true statements
Sarah is incorrect, it's a 45-45-90.
The measure of the remaining leg is 7
The measure of the remaining leg is 7V3
The angle opposite the 7 unit side measures 30 degrees
The perimeter of the triangle is 28 units.
Sarah is incorrect, it's 45-45-90
O The measure of the remaining leg is 7
O The measure of the remaining leg is 7 square roots of 3
O The angle opposite the 7 unit side measures 30 degrees
O The perimeter of the triangle is 28 units

Expert Solution

Step 1

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

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.
In trapezoid ABCD not shown, mA=x2+10, mB=x3+50 and mC=x5+50. Find all possible values of x.
a If mBC=69, then mBOC=_____________. b If mBC=64, then mBAC=_______________.
a Does the similarity relationship have a reflexive property for triangles and polygons in general? b Is there a symmetric property for the similarity of triangles and polygons? c Is there a transitive property for the similarity of triangles and polygons?
Suppose that the two angles are supplementary. Find expressions for the supplements, using the expressions provided in Exercise 28, parts a to c. For two complementary angles, find an expression for the measure of the second angle if the measure of first is: a x b (3x12) c (2x+5v)
3. State the reason SSS, SAS, ASA, AAS, or HL why The triangles are congruent. Note the marks that indicate congruent parts. a RVSRTS b XMWMYZ
a If mAB=88, then mACB=____________. b If mAB=92 and C is the midpoint of major are ACB, then mAC=_____________.
a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.
a If mBAC=24, then mBC=_____________. b If ABAC, then ABC is an___________ triangle.
Draw parallelogram RSTV so that the diagonals have the lengths RT=5 and SV=4. Which two angles of RSTV have the greater measure?