The ratio of an area of two triangles is

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The ratio of an area of two triangles is 5 : 7 and ratio of height is 7 : 5. Find the ratio of their base?

Options:

25 : 49

15 : 21

49 : 25

20 : 28

Correct Answer:

25 : 49

Explanation:

Area₁ : Area₂= 5 : 7

⇒ \(\frac{1}{2}\) b₁h₁ : \(\frac{1}{2}\) b₂h₂ = 5 : 7

⇒ b₁ × 7 : b₂× 5 = 5 : 7

⇒ b₁ : b₂ = 5 × 5 : 7 × 7 = 25 : 49