The ratio of base of two triangles is x : y and that of

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The ratio of base of two triangles is x : y and that of their areas is a : b. Then the ratio of their corresponding altitudes will be:

1. a : b
  x y
2. ax : by
3. ay : bx
4. x : a
  x y

Correct Option: C

Using Rule 1,
Let the respective altitudes be p₁ and p₂.

∴		=	1	× x × p₁
	a		2

	b		1	× y × p₂
			2

⇒	p₁	=	ay
	p₂		bx

⇒ ay : bx