Question

The ratio of the corresponding side of two similar triangle is 5:4 then find the ratio of area

Answer 1

Answer:

25:16

Step-by-step explanation:

Since ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding sides

Ratio of their corresponding sides = 5:4

Therefore, ratio of areas of similar triangles = (5/4)^2

=25/16

= 25:16

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Answer 2

The ratio of area =25:16

Step-by-step explanation:

The ratio of the corresponding side of two similar triangle=5:4

Suppose, two triangles ABC and DEF

$\frac{AB}{DE}=\frac{5}{4}$

We know that when two triangles ABC and DEF are similar then

The ratio of area of two similar triangle=Ratio of square of corresponding sides

Using the formula

The ratio of area=$(\frac{5}{4})^2$

The ratio of area=$\frac{25}{16}$

The ratio of area =25:16

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