Question

the area of a right triangle is 336 square centimeters. The base of the right triangle is 48 centimeters. What is the length of the hypotenuse of the right triangle?

Answer 1

50 cm

Explanation:

So the first step is to find the height, and to do that you know that the area of a triangle is height * base / 2 = area. Plugging in the numbers you have, you get:

`height*48/2=336`

Then, this becomes

`height * 24 = 336`

Divide both sides by 24

`height = 14`

Now you can use the base and the height to find the hypotenuse using the Pythagorean Theorem:
`a^(2) +b^(2) =c^(2)`

`48^(2) +14^(2) =c^(2) \\2304 + 196 = c^(2)\\2500 = c^2\\50 = c\\c = 50`

Therefore the length of the hypotenuse is 50 cm