# matha

the sum of area and perimeter ofintegral right angle triangle is 288. find the sides.

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1. check the easy right triangles:

3,4,5: perimeter = 12, which is 288/24, so

scale by 24 to get 72,96,120
total: 288

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2. sorry, I missed the area part.

1/2 bh + b+h+√(b^2+h^2) = 288

check 3,4,5:
scale by n, and p=12n, a=6n^2, p+a=6n(n+2)
288/6 = 48 = 6*8, so n = 6
scale 3,4,5 by 6 to get
18,24,30
p=72
a=216
p+a=288

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