A block of land is in the shape of a right-angled triangle with a perimeter of 150m and a hypotenuse of 65m. Determine the lengths of the other two sides. Show your working.

Question

Harry Anthony

Mathematics

18 April, 04:48

A block of land is in the shape of a right-angled triangle with a perimeter of 150m and a hypotenuse of 65m. Determine the lengths of the other two sides. Show your working.

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Keith Garner · Answer 1

Let 1 side be x m

then the other will be (150 - 65 - x) = 85-x m

x^2 + (85-x) ^2 = 65^2

x^2 + 7225 + x^2 - 170x = 4225

2x^2 - 170x + 3000 = 0

x^2 - 85x + 1500 = 0

(x - 60) (x-25) = 0

x = 60 or 25