The perimeter is the sum of the three sides.
Subtract the length of the hypotenuse for the sum of the 2 sides:
60 - 26 = 34 cm
The Pythagorean theorem is a^2 + b^2 = c^2
Where a and b are the sides and c is the hypotenuse.
So we know a^2 + b^2 = 26^2
26^2 = 676
We also know a^2 +b^2 = 34 cm
Now a^2 +(34-a)^2 = 676
Factor:
a^2 + a^2-68a+1156 = 676
2a^2 -34a +480 = 0
Divide by 2:
a^2 - 17a +240 = 0
Factor:
a(a-10) - 24(a-10) = 0
a =10
b = 34 - 10 = 24
The sides are 10 cm and 24 cm
