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The proportion between the hypotenuse of a right triangle and one of its legs is 13 12 , and the other leg is 15 cm long. Find the perimeter of the triangle.

Respuesta :

Answer:

Perimeter = 90

Step-by-step explanation:

Let c = hypotenuse, 15 = b, and a = other leg

Given: c/a = 13/12, so a = 12c/13.

c^2 = b^2+a^2

Using Pythagorean Theorem: c^2 = 225 + 144c^2/169.

 

169c^2 = 169(225) + 144c^2

25c^2 = 169(225)

5c = 13(15)

c = 13(3) = 39.

and a = 12*39/13 = 12*3 = 36

You now can compute all three sides, and

thus obtain perimeter = 36+39+15 = 90.

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