Question

What is the value of x?
What is the value of y?

Answer 1

Explanation:

Use Pythagorean's theorem. The two shorter sides (6+x) and 20 are apart of a right triangles of a hypotenuse of (18+6). Therefore:

`(6+x)^2+20^2} =(18+6)^2`

`(6+x)^2+400 =576`

`(6+x)^2=176`

Take the square root of both sides:

`6+x=√(176)`

`x=√(176) -6`

Moving on to the smaller triangle, we can find the value of 'y' to be:

`6^2+y^2=18^2`

`y^2+36=324`

`y^2=288`

`y=√(288)`