Applying the Pythagorean theorem, the amount of inches of wood required = Perimeter of triangle = 15 + 13 + 9 = 37 inches.
What is the Pythagroean Theorem?
The Pythagorean theorem is used to find a side of a right triangle, and it states that if c is the hypotenuse and a and b are the other legs, therefore: c² = a² + b².
Find the altitude/height of the triangle using the Pythagorean theorem:
height = √(13² - 5²)
height = 12
Also, use the Pythagorean theorem to find the missing side (part of the longest side of the main triangle):
missing side = √(15² - 12²) = 9
Amount of inches of wood required = Perimeter of triangle = 15 + 13 + 9 = 37 inches.
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