Question #487c5

1 Answer
Jul 8, 2017

x approx 26.7x26.7 "in"in

Explanation:

The two triangles in the image are "similar triangles".

So, corresponding sides should be in the same ratio:

Rightarrow frac(45 " in")(30 " in") = frac(40 " in")(x)45 in30 in=40 inx

Rightarrow 1.5 = frac(40 " in")(x)1.5=40 inx

Rightarrow 1.5 x = 401.5x=40 "in"in

Rightarrow x = 26.666... "in"

therefore x approx 26.7 "in"

Therefore, the unknown side has a length of approximately 26.7 "in".