math college
posted by calvin on .
Find the perimeter and area of a right triangle if the shortest side is 16 in. and the longest side is 34 in. Include correct units with each part of your solution.

First, find the length of the third side by using the Pythagorean Theorem.
a^2 + b^2 = c^2
16^2 + b^2 = 34^2
256 + b^2 = 1,156
b^2 = 1,156  256
b^2 = 900
b = 30 inches
The perimeter is the length of all three sides added together.
The area is found with this formula:
A = bh/2
If you post your answers here, I'll check them for you. 
the longest side in a rightangled triangle is the hypotenuse, let the missing side be x
x^2 + 16^2 = 34^2
x^2 = 900
x = 30
perimeter = sum of the three sides
area = (1/2)(16)(30) = .... 
Should have checked first.