The areas of the two triangles are in the ratio 4 : 3 and their heights are in the ratio 6 : 5. Find the ratio of their bases.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2. i.e. 10 : 9.
We know that,
Area of triangle = 1/2 × base × height
⇒ 4x/3x = (1/2 × b1 × 6x)/(1/2 × b2 × 5x)
⇒ 4/3 = (b1 × 6)/(b2 × 5)
⇒ b1/b2 = 4/3 × 5/6
⇒ b1/b2 = 10/9
⇒ b1 : b2 = 10 : 9