Question

A service station will be built on the highway, and a road will connect it with cray. How long will the new road be?

Answer options: 54.2mi, 46.2mi, 400mi, 312mi

Answer 1

46.2 mi

Explanation:

Answer 2

46.2 mi is the right answer.

Explanation:

In this question we will follow the property of congruence of two triangles.

Here two triangles formed are triangle formed by Alba, Cray and Blare and a triangle formed by Service station, Cray and Blare.

The distance between Alba and Blare = 130 mi

The distance between Alba and Cray = 120 mi

As we know in the congruent triangles all sides are in the same ratio.

Now we apply the property of the theorem

`(Distance(Alba-Cray))/(Distance(Alba-Blare))= (Distance(Cray-Service station))/(Distance(Cray-Blare))`

`(120)/(130)=(x)/(50)`

`x=50(120)/(130)`

x = 46.2 mi