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? Enter your answer in the box.

Answer 1

Answer:

50

Step-by-step explanation:

First we have to find the height. Since we know the area we can use it to find the height. The area of a triangle is A=bh1/2 or half of the base times the height. So if we plug in what we know and solve, we can find the height. 336=48 x h x 1/2. The height is 14. Now we can solve for the hypotenuse using the Pythagorean Theorem. a^2 + b^2 = c^2 plug in what we know... 14^2 + 48^2 = c^2 simplify to get 196+2304= c^2 and further 2500= c^2 so find the square root of 2500. You will get 50.

Answer 2

$Area of Triangle = \frac{1}{2} bh$
$336 = \frac{1}{2} 48h$
$336 = 24h$
$\frac{336}{24} = h$
$14 = h$
Then using Pythagorean theorem 
$b^{2} + h^{2} = Hyp^{2} --> 48^{2} + 14^{2} = hyp^{2}$
$hyp = \sqrt{2304 + 196} = 50 cm$