If a right triangle has legs measuring 10 cm and 24 cm how long is the hypotenuse
To find the length of the hypotenuse, we can use the Pythagorean theorem, which 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 other two sides.
Accordingly, if a right triangle has legs measuring 10 cm and 24 cm:
Hypotenuse^2 = 10^2 + 24^2
Hypotenuse^2 = 100 + 576
Hypotenuse^2 = 676
Taking the square root of both sides gives us:
Hypotenuse ≈ √676
Hypotenuse ≈ 26 cm
Therefore, the length of the hypotenuse is approximately 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 (c) is equal to the sum of the squares of the lengths of the two legs (a and b).
The formula is given as:
c^2 = a^2 + b^2
In this case, the lengths of the legs are given as:
a = 10 cm
b = 24 cm
Substituting these values into the Pythagorean theorem formula, we have:
c^2 = 10^2 + 24^2
Simplifying, we get:
c^2 = 100 + 576
c^2 = 676
To find the length of the hypotenuse (c), we take the square root of both sides:
c = sqrt(676)
Evaluating this, we get:
c ≈ 26 cm
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 (c) is equal to the sum of the squares of the lengths of the two legs (a and b).
Mathematically, it can be written as:
c^2 = a^2 + b^2
Given that the legs of the right triangle are 10 cm and 24 cm, we can substitute these values into the equation:
c^2 = 10^2 + 24^2
Simplifying:
c^2 = 100 + 576
c^2 = 676
To find the length of the hypotenuse, we take the square root on both sides of the equation:
c = √676
c = 26 cm
Therefore, the length of the hypotenuse of the right triangle is 26 cm.