Question

A right triangle has a hypotenuse of 37 and a leg of 10. What is the second leg of the triangle?

Answer 1

Answer:

The second leg of the triangle is 35.62

Explanation:

Given that

Hypotenuse = 37

A leg = 10

Based on the above information

The second leg of the triangle is

According to the Pythagorean theorem

a^2 + b^2 = c^2

where,

a and b = legs

And, the c = hypotenuse.

Now put these values to the above formula

So,

10^2 + b^2 = 37^2

b^2 = 37^2 - 10^2

b^2 = 1269

b = sqrt(1269)

b = 35 .62

Hence, the second leg of the triangle is 35.62

The other leg is 35 mm.