Question

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

Answer 1

We know that 5,12,13 are the sides according to the Pythagorean.

\(\Large \color{Black}{\Rightarrow 0.5bh = Area(Triangle) }\)

Base = 5
Height = 12

Answer 2

Knowing the hypotenuse is 13 ft and one side of the triangle is 5 ft.

You can relate them together by Pythagoras Theorem.

13^2 = 5^2 + x^2 , where x is the length of the unknown side.

x^2 = 144
x= 12

Given the length of the 2 sides that are perpendicular to each other, you can easily find the area by (area = 0.5 * base * height)

area = 0.5 * 12 * 5
=30 ft ^2

Answer 3

thx

Answer 4

teehee