The area of the two triangles is in the ratio 5 : 3 and their height is in the ratio 5 : 7. Find the ratio of their base.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 7 : 3.
The ratio of the area of the two triangles a1 : a2 = 5 : 3
The ratio of their heights h1 : h2 = 5 : 7
Let's assume the ratio of their bases = b1 : b2
a1/a2 = (b1 × h1)/(b2 × h2)
⇒ 5/3 = 5b1/7b2
⇒ b1/b2 = 35/15
⇒ b1/b2 = 7/3