Question

The area of the right triangle shown is 30 ft squared. The segment XY has a length of 5 ft. Find the length of the hypotenuse.

Answer 1

Hypotenuse is 13 ft.

Explanation:

A=(1/2)bh

30=(1/2)(5)(h)

30=2.5h

h=12 so ZY = 12ft

Then

`a^(2) +b^(2) =c^(2) \\5^(2) +12^(2) =c^(2) \\25+144=c^(2) \\169=c^(2)\\13=c`