Question

Ratio of areas of two triangles with equal heights 2:3 .if base of rhe smaller triangle is 6cm then what is the corrwsponding base of bigger triangle?????

Answer 1

Ratio of two triangle = 2 : 3
2X : 3X (as X is common digits)
Height is same in both triangles.
Area = 1 / 2 (height x base)
Ratio =
$\frac{ \frac{h \times 6 }{2} }{ \frac{h \times big \: base}{2 }} = \frac{2}{3} \\ \frac{6}{big \: base} = \frac{2}{3} \\ cross \: mutiply \\ big \: base = \frac{18}{2} \\ therefore \: other \: base \: is \: 9 \: cm$