The legs of a right triangle have lengths 10 and 24. What is the length of the hypotenuse?

The hypotenuse is 26

Step-by-step explanation:

If the triangle is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

Take the square root of each side

sqrt676 = c

26

26 units

Step-by-step explanation:

Use the pythagorean theorem (a^2+b^2=c^2) to plug in the values and solve the equation.

24^2+10^2=c^2

576+100=c^2

(sqrt) 676=c^2 (sqrt)

26=c

c=26