Question

Find the length of the third side of a right triangle with a hypotenuse of 17 and a leg of 10. 13.7 100 289 19.7

Answer 1

Answer:

≈ 13.7

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the length of the third side, then

x² + 10² = 17², that is

x² + 100 = 289 ( subtract 100 from both sides )

x² = 189 ( take the square root of both sides )

x = $\sqrt{189}$ ≈ 13.7