Similar Triangles: Finding Perimeter Using 9/100 Area Ratio

Question

The ratio of the areas of similar triangles is 9100 \frac{9}{100} Given that the perimeter of the large triangle is 129 cm, what is the perimeter of the small triangle?

Video Solution

Solution Steps

00:00 Find the perimeter of the smaller triangle
00:03 The square of the similarity ratio equals the ratio of triangle areas
00:10 Let's substitute appropriate values and solve for the similarity ratio
00:18 This is the similarity ratio between the triangles
00:25 The perimeter ratio equals the similarity ratio
00:33 Let's substitute appropriate values and solve for the perimeter
00:44 Let's multiply by the reciprocal to isolate P
00:52 And this is the solution to the problem

Answer

38.7

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Related Subjects

Ratio Scale Factors, Ratio and Proportional Reasoning Equivalent Ratios Division in a given ratio Direct Proportion Inverse Proportion Similarity of Triangles and Polygons

Question Types

Ratio: Using additional geometric shapes