Find the Ratio of their Corresponding Base :

Given that the ratio of altitudes of two triangles is 4:5, ratio of their areas is 3:2. The ratio of their corresponding base is

  1. 5:8
  2. 8:5
  3. 15:8
  4.  8:15
Anurag Mishra Professor Asked on 26th October 2015 in Maths.
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1 Answer(s)

Answer is (3): 15:8

Explanation:-
The ratio of altitudes of two triangle = 4: 5
The ratio of their areas = 3: 2

Area of a triangle = height x base/2
base = area of triangle x 2/height

Then, the ratio of their base = (3 x 2/4)/(2 x 2/5)
 = 3 x 5/2 x 4
 = 15/8
 = 15: 8

Hence, the answer is (3) 15: 8. 

Monis Rasool Professor Answered on 28th October 2015.
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