Question

lin the two Triangles the ratio of their areas is 7 is 26 and that of their height is 6 is 27 find the ratio of their bases ​

Answer 1

$Let \: A_{1} \:and \: A_{2} \: are \: areas \:of \\two \: triangles$

$\frac{A_{1}}{A_{2}} = \frac{7}{26} \:(given)$

$\implies \frac{\frac{1}{2} \times b_{1} \times h_{1}}{\frac{1}{2} \times b_{2} \times h_{2}} = \frac{7}{26}$

$\implies \frac{\frac{1}{2} \times b_{1} \times 6}{\frac{1}{2} \times b_{2} \times 27} = \frac{7}{26}$

$\implies \frac{b_{1}}{b_{2}} = \frac{7}{26}\times \frac{27}{6} \\= \frac{7 \times 9}{26\times 2}\\= \frac{63}{52}$

Therefore.,

$\red{ Ratio \:of \:bases } \green { = \frac{63}{52}}$

•••♪