Question

If the ratio of areas of two similar triangles is 9 : 4 then the ratio of them
corresponding altitudes is
(B) . 3:2
(A) 2:3
(C) 4:9
(D)
9:4​

Answer 1

Hey mate here is ur answer

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Step-by-step explanation:

$consider \: two \: triangles \\ triangle1 \: be \: 9x \\ triangle2 \: be \: 4x \\ let \: the \: altitude \: of \: 1st \: triangle \: be \: h1 \\ and \: 2nd \: triangle \: be \: h2 \\area \: of \: triangle1 = \frac{1}{2} \times b \times h1 \\ 9x = \frac{1}{2} \times b \times h1 \\ h1 = \frac{9x \times 2}{b} \\ h1 = \frac{18x}{b} \\ area \: of \: triangle2 = \frac{1}{2} \times b \times h2 \\ 4x = \frac{1}{2} \times b \times h2 \\ h2 = \frac{4x \times 2}{b} \\ h2 = \frac{8x}{b} \\ therefore \\ = h1 : h2 \\ = \frac{18x}{b} : \frac{8x}{b} \\ \frac{h1}{h2} = \frac{18x}{b} \times \frac{b}{8x} \\ \frac{h1}{h2} = \frac{9}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ h1 : h2 = 9 : 4 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Hope this helps you

If yes thn plz mark it as BRAINLIEST!!

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