Question

the ratio of areas of two triangle is 4 ratio 3 and ratio of their height is 3 ratio 4 find the ratio of its base​

Answer 1

Answer:

${\bold{\therefore Ratio\:of\:base=16:9}}$

Step-by-step explanation:

${\huge{\underline{\mathfrak{SOLUTION}}}}$

• In the given question information given about two triangles ratio of their areas and their ratio of their height.

• We have to find ratio of their bases.

$\underline \bold{Given : } \\ \\ \implies Ratio \: of \: area = 4 : 3 \\ \\ \implies Ratio \: of \: height = 3 : 4 \\ \\ \underline \bold{To \: Find : } \\ \\ \implies Ratio \: of \: base = ?$

• According to given question :

$\bold{According \: to \: formula \: of \: triangle} \\\\ \implies \frac{Area \: of \: 1st \: triangle}{Area \: of \: 2 nd \: triangle} = \frac{4}{3} \\\\ \implies \frac{ \frac{1}{2} \times base_{1} \times height_{1} }{ \frac{1}{2} \times base_{2} \times height_{2}} = \frac{4}{3} \\\\ \implies \frac{base_{1} \times 3}{base_{2} \times 4} = \frac{4}{3} \\\\ \implies \frac{base_{1}}{base_{2}} = \frac{4}{3} \times \frac{4}{3} \\ \\ \bold{\implies \frac{base_{1}}{base_{2}} = \frac{16}{9} } \\ \\ \bold {\therefore Ratio \: of \: their \: base \: is \: 16 : 9}$

Answer 2

Answer:

Hence the ratio between their base are 16:9