SOLUTION: The longer leg of a right triangle is 2 cm more than twice the shorter leg. Find the measure of each leg of the triangle with the smallest possible area.
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Question 747735: The longer leg of a right triangle is 2 cm more than twice the shorter leg. Find the measure of each leg of the triangle with the smallest possible area.
Please help me to answer. Thanks. Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! We are given
The longer leg of a right triangle is 2 cm more than twice the shorter leg. Find the measure of each leg of the triangle with the smallest possible area.
Area = 1/2 * base * height
let x be the shorter leg and 2x+2 is the longer leg
then Area = 1/2*x*2(x+1) = x^2+x
Assuming values of x are whole numbers, then
if x = 1cm, then Area = 2cm^2 and the longer leg is 4cm
