In the figure below, triangle abc is similar to triangle pqr, as shown below:
what is the length of side pq?
a) 18
b) 4
c) 32
d) 6

So, Option A is correct.

Step-by-step explanation:

If the triangles are similar, then the sides are proportional

If triangle ABC is similar to triangle PQR

then sides

AB/PQ = BC/QR = AC/PR

We need to find PQ

We are given AB = 6, BC =8 and QR=24

AB/PQ = BC/QR

Putting values:

6/PQ = 8/24

Cross multiplying:

6*24 = 8*PQ

144/8 = PQ

=> PQ = 18

So, Option A is correct.

Option A

Step-by-step explanation:

Two triangles are similar if the length of their sides is proportional.

In this case we have the triangle ∆ABC and ∆PQR so for the sides of the triangles they are proportional it must be fulfilled that:

In this case we know that:

Therefore