a right triangle has legs of length 5 inches and 12 inches .

Question

+5

3775

3

a)find the area of a square drawn on the hypotenuse of the triangle

b)what is the length of the hypotenuse

Guest May 21, 2014

+893

+12

Best Answer

The area of the square is 12^2 + 5^2 = 169.

The length of the hypotenuse is the square root of this, 13.

Bertie May 21, 2014

Bertie · Answer 1 · 2014-05-21T09:43:09

The area of the square is 12^2 + 5^2 = 169.

The length of the hypotenuse is the square root of this, 13.

CPhill · Answer 2 · 2014-05-21T09:01:46

It's makes more sense to find the hypoteneuse, first.

The length of the hypoteneuse is = Sqrt(12^2 + 5^2) = 13 inches

Thus, a square drawn on the hypoteneuse will have an area of 13^2 = 169 sq. inches

BTW......the side lengths of 5 - 12 - 13 are known as a "Pythagorean Triple." There are an infinite number of these "triples.'

Guest · Answer 3 · 2016-09-25T11:36:34

a right triangle has legs of length 6.4 inches and 7.7 inches .what is the area of the triangle ?