# math college

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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.

• math -

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

• math college -

the longest side in a right-angled 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) = ....

• Didn't see Ms Sue already did it - math college -

Should have checked first.

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