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Triangles Abc and Def Are Similar. If Ac = 19 Cm and Df = 8 Cm, Find the Ratio Between the Areas of Two Triangles. - Mathematics

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Question

Triangles ABC and DEF are similar.
If AC = 19 cm and DF = 8 cm, find the ratio between the areas of two triangles.

Sum

Solution

In ΔABC and ΔDEF, AC = 19 cm, DF = 8 cm.
Since, `"area (ΔABC)"/"area (ΔDEF)" = "AC"^2/"DF"^2 = (19)^2/(8)^2 = (361)/(64)`
Hence, the required ratio is 361: 64.

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Areas of Similar Triangles Are Proportional to the Squares on Corresponding Sides
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Chapter 13: Similarity - Figure Based Questions

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ICSE Mathematics [English] Class 10
Chapter 13 Similarity
Figure Based Questions | Q 16.3
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