Question

The area of a right triangle with one leg measuring 5 ft. and hypotenuse measuring 13 ft. is

30 ft.²
37.5 ft.²
65 ft.²

Answer 1

The answer is 30 ft.²

Answer 2

Area=30 ft.²

Explanation:

we are given a right triangle with one leg measuring 5 ft. and hypotenuse measuring 13 ft.

We have to find the area of this triangle

We first find the second leg let it be x

(legs of right angled triangle means its base and height)

we use pythagoras theorem

`Base^2+height^2=hypotenuse^2`

`5^2+x^2=13^2\\\\x^2=169-25\\\\x^2=144=12* 12\\\\x=12`

Hence, length of second leg=12 ft.

Area=

`(1)/(2)* 5* 12\\ \\=30 ft.^2`