If each side of an equilateral triangle is doubled, then its area becomes
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10
Explanation:
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AREA OF EQUILATERAL TRIANGLE = √3/4*(SIDE)²
IF SIDE IS DOUBLED THEN AREA WILL BECOME 4 TIMES.
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Answered by
8
Answer:
Let, the equilateral triangle has sides of 'a' unit
Then Area of the equilateral triangle =
((√3)/4)*(a²) sq. unit
If the sides of the triangle becomes '2a' unit
Now the area of the equilateral triangle becomes =
((√3)/4)*(2a)² = ((√3)/4)*(4a²) sq. unit
Increase in area =
{ ((√3)/4)*(4a²) - ((√3)/4)*(a²) } sq. unit = 3a² sq. unit
Percentage Increase in area = ((3a²)/(a²))*100 = 300 %
Explanation:
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