Question

A right triangle has an area of 18 square inches. A. If the triangle has 2 sides that are the same length, what are the lengths of these sides? B. If the triangle has sides with three different lengths, what are all the possible whole number lengths for the sides that meet at a right angle?

Answer 1

A = 6 inches

B = 4, 9, 3, 12, 18, 2, 36, 1

Explanation:

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Answer 2

A) 6 inches. ( if the equation for the area of a triangle is

`(base * height)/(2) = area`

, insert 18 for area. also, since the base and height are the same length, substitute base x height for side ^2. then solve for side.

B) 4 and 9, 3 and 12, 18 and 2, and 36 and 1. (solve for all possible b×h)