The hypotenuse of a right triangle is 27.5cm. If one leg is 22cm then the other leg is?
22^2 + b^2 = 27.5^2
484 + b^2 = 756.25
b^2 = 272.25
b = 16.5 cm
Thank you!
To find the length of the other leg, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
We are given the length of the hypotenuse, which is 27.5 cm, and one leg, which is 22 cm. Let's call the length of the other leg "x".
Using the Pythagorean theorem, we can write the equation as:
x^2 + 22^2 = 27.5^2
Simplifying the equation, we have:
x^2 + 484 = 756.25
Subtracting 484 from both sides, we get:
x^2 = 272.25
To find the value of x, we take the square root of both sides:
x = √272.25
Calculating the square root, we find:
x ≈ 16.5 cm
Therefore, the length of the other leg is approximately 16.5 cm.