Find x in the following right triangle.
x= hypotenuse
Side length=24
Side length=10
Using the Pythagorean theorem:
x² = 24² + 10²
x² = 576 + 100
x² = 676
Taking the square root of both sides:
x = √676
x = 26
Therefore, the length of the hypotenuse (x) is 26.
To find the length of the hypotenuse (x) in 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.
In this case, the two given side lengths are 24 and 10. Let's label the sides of the right triangle as follows:
Side A = 10
Side B = 24
Hypotenuse (x) = ?
Using the Pythagorean theorem, we can write the equation:
x^2 = A^2 + B^2
Substituting the given values:
x^2 = 10^2 + 24^2
x^2 = 100 + 576
x^2 = 676
Taking the square root of both sides:
x = √676
x = 26
Therefore, the length of the hypotenuse (x) in the right triangle is 26.