Question

Two similar polygons are shown below. Find the value of x and y.

Answer 1

x = 18, y = 12

Explanation:

Δ SRT and Δ VUT are similar then the ratios of corresponding sides are equal, that is

`(SR)/(VU)` =
`(ST)/(VT)` , substitute values

`(12)/(4)` =
`(x)/(6)` ( cross- multiply )

4x = 72 ( divide both sides by 4 )

x = 18

From side ST

y + 6 = 18 ( subtract 6 from both sides )

y = 12