if a right triangle has legs measuring 10 cm and 24 cm, how long is the hypotenuse
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's call the length of the hypotenuse "c".
Using the Pythagorean theorem:
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
Taking the square root of both sides, we find:
c ≈ 26.
Therefore, the length of the hypotenuse is approximately 26 cm.
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 two legs.
In this case, let's assign "a" as the length of one leg (10 cm) and "b" as the length of the other leg (24 cm). The equation is as follows:
c^2 = a^2 + b^2
Substituting the values:
c^2 = 10^2 + 24^2
Simplifying:
c^2 = 100 + 576
c^2 = 676
To find the length of the hypotenuse (c), we need to calculate the square root of 676:
c = √676
c = 26 cm
So, the length of the hypotenuse is 26 cm.
To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
So, let's apply the Pythagorean theorem to the given right triangle. Given that the lengths of the legs are 10 cm and 24 cm, we can label them as side A and side B, respectively. Let's consider the hypotenuse as side C.
Using the Pythagorean theorem:
C^2 = A^2 + B^2
Substituting the given values:
C^2 = 10^2 + 24^2
C^2 = 100 + 576
C^2 = 676
Taking the square root of both sides to solve for C:
C = √676
C = 26 cm
Therefore, the length of the hypotenuse is 26 cm.