Triangle HIJ is shown below. What is the perimeter of the triangle?
Find the missing side, HJ, by using the pythagorean theorem.
Pythagorean Theorem a² + b² = c² {the sum of the squares of the legs is equal to the square of the hypotenuse} 12² + b² = 13² {substituted sides into pythagorean theorem} 144 + b² = 169 {evaluated exponents} b² = 25 {subtracted 144 from each side} b = 5 {took square root of each side} The sides of the triangle are 5, 12, and 13. Perimeter = 5 + 12 + 13 = 30 cm {added sides of triangle} Ask Algebra House
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