Question

If the base of a triangle is decreased by 10% then by how much percent its height be increased so as its area does not change ?​

Answer 1

Answer:

11.111111

Step-by-step explanation:

Let us Assume that Base = 100 and Height = 100

Then area will be 100 × 100 × 1/2 = 50000

Now base is decreased by 10 % = 10 × 100/100

Hence Base is decreased by 10 units

So now the base is 90 units

So the height = 90 × h × 1/2 = 50000 h = height

= 90 × h = 50000 ÷ 1/2 = 10000

90 × h = 10000

So h will be 10000/90 = 111.1111

Original Height = 100

New Height = 111.1111

Difference between heights = 11.111

So 11.111/100 ×100 = Percentage of Height that should be increased

So 11.111 percent height should be increased to make the area remain same

Hope it helps

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