Question

The length of the hypotenuse of a right triangle is 34 inches and the length is 34 inches and the length of one of its legs is 16 inches. What is the length, in inches, of the other leg of this right triangle?

Answer 1

The length of the other leg of this right angled triangle is 30 inches.

Explanation:

We are given the following in the question:

A right angles triangle with the hypotenuse of 34 inches and the length of one of its legs is 16 inches.

Pythagoras theorem:

• The sum of of square of two sides of a triangle is equal to the square of the hypotenuse.

Let x inches be the length of the other leg of this right triangle.

Thus, we can write the equation:

`x^2 + (16)^2 = (34)^2\\x^2 + 256 = 1156\\x^2 = 900\\x = 30`

Thus, the length of the other leg of this right angled triangle is 30 inches.