Question

Determine the value of x in the triangle below:

NO LINKS

Answer 1

x = 12.85714286 (as a decimal)

x =
`(90)/(7)` (as a fraction)

Explanation:

These 2 triangles are similar.

`(20)/(x) = (20 + 8)/(x + 18)`

• Cross-multiply both sides.

20(x + 18) = x(20 + 8)

20x + 360 = 20x + 8x

20x + 360 = 28x

• Take 20x away from both sides.

360 = 28x

• Divide both sides by 28.

x = 12.85714286 or x =
`(90)/(7)`

Answer 2

I believe the correct anwser is 45