Question

Triangle ABC similar to triangle DEF the ratio of corresponding sides of a triangle are 9:25 then their ratio of their areas is equal to tu

Answer 1

The ratio of the area of triangle ABC and the area of triangle DEF will be 25/81.

Step-by-step explanation:

It is given that,

∆ABC ~ ∆DEF

The ratio of the corresponding side of the similar triangles are 5:9

Now, we know that when the two given triangles are similar, then the ratio of there areas is equal to the ratio of the square of their corresponding sides.

∴ [Area of the ΔABC] / [Area of the ΔDEF] =

Substituting the given ratio as 5/9

∴ [Area of the ΔABC] / [Area of the ΔDEF] = [5²] / [9²]

⇒ [Area of the ΔABC] / [Area of the ΔDEF] = [25] / [81]

⇒ [Area of the ΔABC] / [Area of the ΔDEF] = 25:81

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