Question

PLEASE HURRY A triangle and two of its side lengths are shown in the diagram. Which measurement is closest to the value of x in feet? The diagram show a triangle that has 3.7ft on the left side, 14.3 ft on the right/slanted side, and x at the bottom PLEASE HELP ME

Answer 1

`x = 13.8 ft`

Explanation:

Since it's a right triangle, apply pythagorean theorem.

The formula is given as a² + b² = c²

Where,

a = 3.7 ft

c = 14.3 ft

b = x

Plug in the values into the formula:

`3.7^2 + x^2 = 14.3^2`

`13.69 + x^2 = 204.49`

Subtract 13.68 from both sides

`x^2 = 204.49 - 13.69`

`x^2 = 190.8`

`√(x^2) = √(190.8)`

`x = 13.8` (nearest tenth)