What are the other 2 sides of a right triangle is the hypotenuse is 26m and the perimeter is 60m

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