If a right triangle has legs measuring 10 cm and 24 cm how long is the hypotenuse?

Answer 1

To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. The equation can be written as:

c^2 = a^2 + b^2

where c is the length of the hypotenuse, and a and b are the lengths of the legs.

In this case, the legs are 10 cm and 24 cm. Substituting these values into the equation:

c^2 = 10^2 + 24^2

c^2 = 100 + 576

c^2 = 676

To find c, take the square root of both sides of the equation:

c = √676

c = 26 cm

Therefore, the length of the hypotenuse is 26 cm.