Find the remaining sides of a 30°-60°-90° triangle if the longest side is 5.

Q: Find the lengths of the unknown sides in the right triangle.

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Q: Approximate the remaining parts of triangle ABC.α = 23°30', c = 125, a = 152

A: According to the law of sines: sin αa=sin βb=sin γc

Q: Find the circumcenter of the triangle. 4 2 -2

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Q: State if the three side lengths form an acute, obtuse, or right triangle. 13) 9, 2V22, 13

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Q: Which of the following could be the third side of a right triangle whose side lengths are 9 and 40?

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Q: The area of a triangle is 35. Find the base of the triangle if the height is 10

A: area of the triangle is given by A=12·b·h here we have Area A=35 height h=10 base b=?

Q: if the hypotenuse of a 45, -45 and -90 degree triangle is 13, what is the length of one of the legs

A: Here the given right angle triangle having angles 45, 45, 90 Since the two angles of the given…

Q: side a on a right triangle is always the longest side true or false

A: Hypotenuse of a right triangle is always longest side.

Q: List the sides of the given triangle from shortest to longest. 33

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Q: Find the missing parts of triangle ABC if A=110.4degrees,C=21.8 degrees and c=246in

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Q: The vertex angle of an isosceles triangle is 10 less than three times the base angles. Find each…

A: Given In an isosceles triangle, The vertex angle is 10 less than 3 times its base angle We know that…

Q: Three roads intersect to form a large triangular area as shown below. 5 miles- 30 What is the…

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

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Q: If a triangle has lengths of 27m and 11m , check all the possible lengths for the third side.

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Q: If the longer leg of a 30-60-90 degree triangle is 6/3units, Find the length of the shorter leg of…

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Q: State if the 3 sides form an acute, obtuse, or right triangle. 9, 5/3, v33

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Q: Find the exact values of the remaining parts of triangle ABC.α = 60°, β = 45°, b = 100

A: Given : In triangle △ABC : m∠α=m∠A=60°,m∠β=m∠B=45°b=AC=100 We have to find the values of m∠γ=m∠C,…

Q: Which triangle is a 30°-60°-90° triangle?

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Q: Find the remaining sides of a 30-60-90 degree triangle if the longest side is 6.

A: Given: 30-60-90 triangle  hypotenus=6

Q: If 3 and 4 are the legs of a right triangle, the hypotenuse is .................

A: Let,Base of the triangle = Base = 3Height of the triangle = Height = 4Hypotenuse of the triangle =…

Q: Solve the triangle with ZA = 46°,a = 35 feet, c = 40 feet

A: Use the Sine rule of triangle.

Q: Find the lengths of the sides of the given triangle.

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Q: find the missing sides of the similar triangles

A: Let us assume two triangles ABC and DEF and both are similar triangles. let the sides of triangle…

Q: Find the area of the shaded triangle if the area of an equilateral triangle AABC is 36.

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Q: If the two shorter sides of a 45 degree –45 degree –90 degree triangle are both  3/4 , find the…

A: Consider the diagram of the triangle, according to Pythagoras theorem, In a right-angled triangle,…

Q: Find the length of the altitude to the 26-in. side of a triangle whose sides are 10, 24, and 26 in.…

A: Sides of the triangle are 10, 24 and 26 inches. Clearly, 102+242=262 Therefore the given triangle…

Q: Find the area of the triangle with the given vertices (-3, -2), (2, -2), (1, 2). Round to the…

A: Consider a triangle with vertices  −3, −2,2, −2,1, 2

Q: In a regular hexagon, find the number of degrees in one of the angles and one of the angles at the…

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Q: 8. 70

A: Triangle Question

Q: if a triangle has side lengths of 6, 6.7 and 3, which side is the hypotenuse?

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Q: Find the lengths of the three sides of the right triangle in the figure shown. 12 2x – 3

A: Pythagorean theorem: It states that, in a right angled triangle, the sum of squares of perpendicular…

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

A: GivenRight angled triangle of legs 3 and 4To find hypotenuse side

Q: If both a parallelogram and triangle have the same base and altitude, then the area of the…

A: Given: If both a parallelogram and triangle have the same base and altitude, then the area of the…

Q: A triangle has side lengths 15 and 8. Which could be the length of the third side?

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Q: If the longest side in a 30 degree –60 degree –90 degree  triangle is 10, find the length of the…

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Q: Find all missing parts of triangle ABC if a=832ft, b= 623ft c=345ft

A: we have to find all missing parts of triangle ABC if a=832ft, b= 623ft c=345ft

Q: Find the remaining sides of a 30° – 60° – 90° triangle if the length of the longest side is 8. Side…

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Q: Find the coordinates of the circumcenter of triangle ABC with A(6,2), B(-2,2), C(6,-4).

A: Consider the triangle ABC with three vertices: A(6,2), B(-2,2) and C(6,-4). The problem requires to…

Q: Find the length of the altitude to the hypotenuse of a right triangle whose sides have lengths 7,…

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Q: Find the perimeter of Triangle ABC if A = 16 degrees, B= 77 degrees and a =18.2, to the nearest…

A: Triangle ABC if A = 16 degrees, B= 77 degrees and a =18.2

Q: Find the area of the triangle formed by the lines 5л +у — 14 — 0, т+7у +38 — 0, and 9л -5у +2 —0

A: We can find the area of the triangle as below

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: Find the solutions of a right triangle with B = 56° and b = 6 cm. %3D %3D

A: From the given data the triangle is a right angled triangleLet A=90°, Given B=56° and C=?We know…

Q: In a triangle ABC, a = 3cm, b = 3cm and ZB=75° then find the ZA.

A: Given: In ABC triangle,a=3cmb=3cm   and ∠B=75° To find the ∠A

Q: Use the information provided in the applet to find the length of the shorter leg in a right triangle…

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Q: Given a right triangle with a leg length of 7km and hypotenuse of length 25 km, find the length of…

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Q: Find the remaining sides of a 30°–60°–90° triangle if the longest side is 9.

A: Consider the following triangle: Apply the law of sine: asinA=bsinB=csinC Therefore,…

Q: The length of the hypotenuse of a 30°-60°-90° triangle is 4. Find the length opposite to 60° angle

A: Given: The length of the hypotenuse of a 30°-60°-90° triangle is 4. Find the length opposite to 60°…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.