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Triangles PQR and FGH are similar and PQ/FG=1/4. What is the ratio of the area of the triangle PQR to the area of triangle FGH? A) 1/4 B) 1/2 C) 1/8 D) 1/16
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3 votes
Triangles PQR and FGH are similar and PQ/FG=1/4.

What is the ratio of the area of the triangle PQR to the area of triangle FGH?

A) 1/4

B) 1/2

C) 1/8

D) 1/16

User Saqib Naseeb
by
7.3k points

2 Answers

2 votes
Hello!

Since these triangles are similar, each side length of the smaller will have a ratio of 1/4 in relation to the larger. Therefore the area would also be A)1/4 ratio.

I hope this helps!
User Hopstream
by
7.0k points
5 votes

Similar triangles with a ratio of r in the linear dimension will have a ratio of r^2 in area. So we're looking for (1/4)^2 = 1/16, Choice D


User Javed Akram
by
6.7k points
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