Question : The area of the two triangles is in the ratio 5 : 3 and their heights are in the ratio 5 : 7. Find the ratio of their bases.
Option 1: 3 : 5
Option 2: 7 : 3
Option 3: 7 : 5
Option 4: 2 : 3

Question

Question : The area of the two triangles is in the ratio 5 : 3 and their heights are in the ratio 5 : 7. Find the ratio of their bases.

Option 1: 3 : 5

Option 2: 7 : 3

Option 3: 7 : 5

Option 4: 2 : 3

Team Careers360 · Accepted Answer

Correct Answer: 7 : 3

Solution : Area of triangle = $\frac{1}{2}×{ ext{Base × Height}}$
$\frac{ ext{Area of triangle 1}}{ ext{Area of triangle 2}}=\frac{\frac{1}{2} imes ext{Base}_1 imes ext{Height}_1}{\frac{1}{2} imes ext{Base}_2 imes ext{Height}_2}$
⇒ $\frac{5}{3}=\frac{ ext{Base}_1 imes 5}{ ext{Base}_2 imes 7}$
⇒ $\frac{ ext{Base}_1}{ ext{Base}_2}=\frac{7}{3}$
Hence, the correct answer is 7 : 3.

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Question : The area of the two triangles is in the ratio 5 : 3 and their heights are in the ratio 5 : 7. Find the ratio of their bases.Option 1: 3 : 5Option 2: 7 : 3Option 3: 7 : 5Option 4: 2 : 3

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Question : The area of the two triangles is in the ratio 5 : 3 and their heights are in the ratio 5 : 7. Find the ratio of their bases.
Option 1: 3 : 5
Option 2: 7 : 3
Option 3: 7 : 5
Option 4: 2 : 3