MATH SOLVE

3 months ago

Q:
# PLEASE HELP ASAP AND PLEASE SHOW YOUR WORKThe area of the right triangle is 48 in^2. The height of the right triangle is 6 in.What is the length of the hypotenuse of the right triangle in simplified radical form? Show all work!

Accepted Solution

A:

U have one side of the triangle a is 6 and the area is 48, by using the triangle area formula (A = 1/2 a*b) we can find the other side of the triangle b equals to 48 * 2 / 6 which equals to 16. To find the hypotenuse of this triangle c we use a^2 + b^2 = c^2. So c equals to square root of 6^2 + 16^2 which is square root of 292. So the final answer is square root of 292