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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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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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,

                             ...................................................(1)

                  Where,  Opp - 8

                                 Hyp - 17

                  From equation (1),

                                       = 0.470588

                                       (0.470588)

                                    a = 28.072°

                     For angle b,

                                   ...................................................(1)

                  Where,  Opp - 15

                                 Hyp - 17

                  From equation (1),

                                       = 0.882352

                                       (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.

he spend 5.1 minutes chatting with his friends.

step-by-step explanation:

2/5+1/2=9/10

6/1-9/10=5.1

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation: