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

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प्रश्न

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

योग
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उत्तर

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

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