Question

Find the value of each variable... Pick each that apply

Answer 1

Answer:

Step-by-step explanation:

The first triangle right isosceles. The sides opposite the 45° angles are the same length.

x = 13

By the Pythagorean Theorem, y = 13√2

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Second triangle is 30°-60°-90°. Remember that the sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.

The side opposite the 30° has length 3, so the side opposite the 60° angle is 3√3 and the side opposite the 90° angle is 6.

x = 6

y = 3√3

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The third figure has another 30°-60°-90° triangle. The side opposite the 30° angle is 17, so the side opposite the 60° angle is 17√3 and the side opposite the 90° angle is 2×17 = 34.

x = 17√3

The other triangle is right isosceles.  

z = 34

y = 34√2