Question

Find the value of X. Round to the nearest degree.

It’s a right triangle, one of the legs is 7 and the hypotenuse is 9, we are solving for X. Can you help?

Answer 1

To find the value of X, we can use the Pythagorean theorem, which states that for 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.

So, for this triangle:

a = 7 (one leg)
c = 9 (hypotenuse)
x = ? (other leg)

Using the Pythagorean theorem:
a^2 + x^2 = c^2
7^2 + x^2 = 9^2
49 + x^2 = 81
x^2 = 81 - 49
x^2 = 32
x = √32
x ≈ 5.7

Therefore, the value of X is approximately 5.7.