Question

1. Ratio of areas of two triangles with equal
heights is 2:3. If the base of the smaller
triangle is 6 cm,then what is corresponding
base of the bigger triangle? *​

Answer 1

Answer:9 cm

Step-by-step explanation:

We know that:

Ratio of Bases = Ratio of areas. (Similar Triangles)

Let the unknown base be ' x '.

Then,  

\frac{6}{x} =  \frac{2}{3}  

⇒ x =  \frac{6\times 3}{2} = 3\times 3= 9\ cm