Question
A right-angled triangle has an
area of 120 m², and the ratio of its base to height is 5:3. The side length of an equilateral triangle is 125% of the average of the base and height of the right-angled triangle. Calculate the perimeter of the equilateral triangle.Solution
ATQ, Base of the right angled triangle = 5b Height of the right angled triangle = 3b Area of the right angled triangle = 120 m (1/2) × 5b × 3b = 120 b2 = 16 b = 4 Base of the right angled triangle = 5 × 4 = 20 m Height of the right angled triangle = 3 × 4 = 12 m Side of the equilateral triangle = (20 + 12)/2 × 125/100 = 16 × 125/100 = 20 m Perimeter of the equilateral triangle = 3 × 20 = 60 m
Select the CORRECTLY spelt word.
In the following question, four words are given, out of which only one word is correctly spelt. Find the correctly spelt word.
Choose the correctly spelt word?
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1) deemocracy
2) demaucracy
3) democracy
4) demokracy
5) none of these
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