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 1

Question

3 years ago

5

6 inches. What is the length, in inches, of the other leg of this right triangle?

1 answer:

nata0808 [166] · Answer 1 · 2022-05-21T13:34:53+03:00

Answer:

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

Step-by-step 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.