Question

One of the legs of a right triangle measures 7 cm and it’s hypotenuse measures 15 cm

Answer 1

13.266 cm.

Explanation:

To solve for the missing leg of the right triangle, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

Let's denote the missing leg by x. Then we have:

`x^2 + 7^2 = 15^2`

Simplifying and solving for x, we have:

`x^2 + 49 = 225\\x^2 = 225 - 49x^2 = 176x =√(176)`

x ≈ 13.266

Therefore, the missing leg of the right triangle measures approximately 13.266 cm.