Question

If triangle MNP is similar to triangle ABC such that MN= 6cm, AB=8cm, and area of triangle MNP
is 15 sq.cm, then the area of triangle ABC is : *​

Answer 1

Step-by-step explanation:

area of MNP= 15cm²

let area of ABC is x

it is given that both triangles are similar

therefore the ratio of their sides is equal to ratio of their area

therefore 6/8=15/x

x= 20 cm ²

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Answer 2

Answer:

The required area of the triangle is 20 cm²

Step-by-step explanation:

It is given to us that :

Both the triangles ABC and MNP are similar.

Also, MN = 6cm and AB = 8cm

and Area of triangle MNP = 15 cm²

Therefore, by the theory of the similarity in triangles, we know that

the ratio of the sides of one triangle (MNP) = ratio of the area of the other triangle(ABC)

Now, Let the area of triangle ABC be "x" cm²

So. $\frac{6}{8} = \frac{15}{x}$

or, x = 120 / 6 = 20 cm²

Hence, the required area of the triangle is 20 cm²

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