the two shorter sides (legs) of a right triangle measures 10 cm and 24 cm what is the length of the hypotenuse of the triangle
To find the length of the hypotenuse, we can use the Pythagorean theorem.
According to the Pythagorean theorem, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
c^2 = a^2 + b^2
In this case, the two shorter sides (legs) are 10 cm and 24 cm. So, a = 10 cm and b = 24 cm.
Plugging in these values, we have:
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
To find the length of the hypotenuse, we take the square root of both sides:
c = √676
c = 26
Therefore, the length of the hypotenuse of the right triangle is 26 cm.