SOLUTION: please help me to solve. The leg of the right triangle measure 24 m and 10 m and its hypotenuse is 26 m. what is the length of the legs of a similar triangle whose hypotenuse is

Smaller right triangle has hypotenuse of: 26 m 

Larger right triangle has hypotenuse of:  2(26), or 52 m

Therefore, each side of larger triangle is twice each corresponding side of the smaller triangle.

With smaller triangle's legs being 24 m and 10 m, legs of larger triangle are:

2(24), or  m, and 2(10), or  m, respectively.