Question

Sides of two similar triangles are in the ratio 4:9. Ratio of the areas of the triangles are

Answer 1

Answer:

I'm here giving the simplest way to answer this particular question:

Area = $\tt {\frac {1}{2}\times b \times h}$

Ratio = $\tt {\frac {\frac {1}{2} \times b_{1} \times h_{1}}{\frac {1}{2} \times b_{2 } \times h_{2}}}$

=> Given ratio of sides = 4:9

=> Ratio of area = $\tt {\frac {4}{9} \times \frac {4}{9}}$

=> Ratio of area = $\tt {\frac {16}{81}}$