# geometry

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FIND THE PERIMETER AND AREA OF A RIGHT IF THE SHORTEST SIDE IS 20MM. AND THE LONGEST SIDE IS 52MM. INCLUDE CORRECT UNITS WITH EACH PART OF YOUR SOLUTION.

• geometry -

Is this a right TRIANGLE?

• geometry -

YES

• geometry -

First, we need to determine the length of the third side by using the Pythagorean Theorem.

a^2 + b^2 = c^2

20^2 + b^2 = 52^2
400 + b^2 = 2704
b^2 = 2304
b = 48

The perimeter is the sum of the three sides.
20 + 48 + 52 = P

The area is found by using this formula:
A = 1/2 * b * h

A = (1/2) * 20 * 48

A = ________sq. mm.

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