The hypotenuse right triangle is 26 mm one leg of the triangle is 10 mm what is the length of the other leg

Hypotenuse is 26 mm

so if we use the p theorem

a^2+b^2 = c^2

and theyre giving us c (26mm)

and theyre giving us one leg (10mm)

just plug it in and solve for the missing variable

10^2 + b^2 = 26^2

100+b^2 = 676

b^2 = 576

square root of both sides to solve for b

b = plus or minus 24

But the length cannot be a negative length

so the answer is

b = + 24

A2 + b2 = c2 40 + b2 = 26 40-26=14 So the other leg is 14 and you might still need to calcualate the root