Question 1040798
Let x be the short leg:
x^2+(x+22)^2 = (x+44)^2
2x^2+44x+484 = x^2+88 x+1936
Subtract x^2+88 x+1936 from both sides:
x^2-44x-1452 = 0
(x-66)(x+22) = 0
x-66 = 0 or x+22 = 0
x = 66 or x = -22
x = 66 or x = -22
We are not looking for a negative number, so let's try 66:
:
Short leg: 66
Long leg: 66+22 = 88
Hypotenuse: 66+44 = 110
Check:
a^2+b^2 = c^2
66^2+88^2 = 110^2
4356+7744 = 12100 Correct