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

Answer:

50 cm

Step-by-step 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