Question

If one of the legs of a right triangle is 4 in and the hypotenuse is 8 in, find the length of the other leg (use a calculator if necessary). Can you guess the measures of the acute angles?

Answer 1

8^2=4^2 +b^2
64= 16+b^2
-16 -16
48=b^2
b =6.928

the answer should be about 6.928

Answer 2

In this question, length of one leg is 4 in and the hypotenuse is 8 inch .

Let the other leg be x inch.

To find the value of x, we have to use pythagorean formula, which is

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And here, since the shorter leg is half of hypotenuse and the longer leg is square root 3 times of shorter leg, so the triangle is 30-60-90 special right triangle.

And the acute angles are 30 degree and 60 degree.