# math

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The perimeter of the triangle is 40 inches. If you wanted to construct a similar triangle with a perimeter of 50 inches, what would be the length of the shortest side of the triangle?

• math -

Consider a triangle with a right angle, and one "acute" angle very close to 90 degrees. That means the other acute angle is near "zero" degrees, and the shortest side is almost zero.

• math -

the shortest side of the new triangle would be 50/40 or 1.25 times as long as the shortest side of the original triangle.

(perimeter is a linear measurement, so perimeter is directly proportional to the length of sides of similar polygons)

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