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 1

Answer:

46.2 mi is the right answer.

Step-by-step 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

$\frac{Distance(Alba-Cray)}{Distance(Alba-Blare)}= \frac{Distance(Cray-Service station)}{Distance(Cray-Blare)}$

$\frac{120}{130}=\frac{x}{50}$

$x=50\frac{120}{130}$

x = 46.2 mi