Question

The ratio of bases of two triangles is `x : y` and that of their areas is  a : b , Then the ratio of heir corresponding altitudes will be


Options:
A .  `ax : by`
B .  `a/x : b/y`
C .  `ay : bx`
D .  `x/a : b/y`
Answer: Option C

`a/b = (1/2 x xx h_1)/(1/2 y xx h_2)      [ Ratio of area  = `a/b` , Ratio of base  = `x : y`]

`:.`     `bxh_1 = ayh_2`

`hArr    h_1/h_2 = (ay)/(bx)`

Hence ,  `h_1 : h_2 =  ay  :  bx`



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