What Are The Area Unchanged The Height of The Triangle

The base of a triangle is increased by 10%. To keep the area unchanged the height of the triangle is to be decreased by ?

  1. 100/11%
  2. 100/9%
  3. 11%
  4. 9%
Anurag Mishra Professor Asked on 20th July 2015 in Maths.
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1 Answer(s)

Answer: (1) 100/11%
Explanation:-
The area of a triangle = base x height/2
Let the height decreased by X %
According to the question,
(base x 110/100) (height [100 – X)/100]/2 = base x height /2
11 base x height(100 – X)/1000 x 2 = base x height/2
11 x (100 – X)/1000 = 1
100 – X = 1000/11
– X = 1000/11 – 100
– X = (1000 – 1100)/11
– X = – 100/11
X = 100/11
Hence, the answer is (1) 100/11%

Anurag Mishra Professor Answered on 21st July 2015.
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