Mathematics, 01.04.2020 02:34, dondre54

A triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem. What are the measure of the other 2 angles?

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Answers: 2

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Answers

The measure of the other 2 angles of a right angle triangle with side lengths 8, 15, and 17 are approximately 28° and 62°

The triangle is right angle triangle. This means it has on of its angles as 90 degrees.

The other 2 angles sum up to 90 degrees.

Using Pythagoras's theorem,

c² = a² + b²

where

c = hypotenuse

a and b are the other 2 legs.

The hypotenuse is the longest sides of a right angle triangle. Therefore, 17 is the hypotenuse side of the triangle.

Using trigonometric ratio,

sin ∅ = opposite / hypotenuse

∅ = sin⁻¹ 8 / 17

∅ = sin⁻¹ 0.47058823529

∅ = 28.0724869359

∅ ≈ 28°

The last angle will be 90 - 28 = 62°

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A triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Th

answered: ichabella2010

The other 2 angles of given right angles are 61.93° and 28.072°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

Step-by-step explanation:

The given is,

Right angled triangle,

Side lengths are 8, 15, and 17

Step:1

The given triangle is right angle triangle by the converse of Pythagorean theorem, so the trigonometric ratio,

Ref the attachment,

For angle a,

$Sin a = \frac{Opp}{Hyp}$ ...................................................(1)

Where, Opp - 8

Hyp - 17

From equation (1),

$= \frac{8}{17}$

= 0.470588

$= sin^{-1}$ (0.470588)

a = 28.072°

For angle b,

$Sin a = \frac{Opp}{Hyp}$ ...................................................(1)

Where, Opp - 15

Hyp - 17

From equation (1),

$= \frac{15}{17}$

= 0.882352

$= sin^{-1}$ (0.882352)

b = 61.93°

Step:2

Check for solution for right angle triangle,

90 ° = Other 2 angles

90 ° = a + b

90 ° = 28.072° + 61.93°

90 ° = 90 °

Result:

The other 2 angles of given right angles are 61.93° and 28.07°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

answered: Guest

Best answer that i found on yahoo ok set : x= length of 2nd piece in cm x- 3= length of 1st piece in cm x-4= length of 3rd piece in cm then since you know they all came from the 20 cm ribbon you add them together and set them equal to 20x+ x-3 +x-4 = 20 3x - 7= 20 3x= 27 x= 9 the shortest piece is the third piece which is x- 4 x-4 9-4 = 5 the length of the smallest piece is 5 cm. the other lengths are 9 cm 6 cm

answered: Guest

the answer is c hope it

step-by-step explanation:

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