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Chapter 8: Q. 43 (page 516)

The hypotenuse of a right triangle is 5 inches. If one leg is 2 inches, find the degree measure of each angle.

Short Answer

Expert verified

So, the angles of right triangle are23.6°,66.4°,90°.

Step by step solution

01

Given Information

Given that the hypotenuse of a right triangle is 5 inches and one leg is 2 inches.

02

Solution

We can draw a figure of the given problem as: -

So in △ABC

sin(x)=ABACsin(x)=25x=sin-125x≈23.6°

So, angle C is 23.6°.

Now angle A is 180°-(∠B+∠C).

∠A=180°-(90°+23.6°)∠A=66.4°

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