The side of new equilateral triangle is triplet the side of an equilateral triangle .find its persant increase area of new triangle
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Let the side of original Equilateral Triangle be x
Area of original Triangle = ✓3x²/4
The side of new Equilateral Triangle = 3x
area of new Equilateral Triangle = ✓3(3x)²/4
= 9✓3x²/4
Increased area = 9✓3x²/4 - ✓3x²/4
= 8✓3x²/4
= 2✓3x²
Percentage Increase = increased area / original area × 100
= 2✓3x² ÷ ✓3x²/4 × 100
= 2✓3x² × 4/✓3x² × 100
= 2 × 4 × 100
= 800%
Answer → The Increase in area of new Triangle is 800%.
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Area of original Triangle = ✓3x²/4
The side of new Equilateral Triangle = 3x
area of new Equilateral Triangle = ✓3(3x)²/4
= 9✓3x²/4
Increased area = 9✓3x²/4 - ✓3x²/4
= 8✓3x²/4
= 2✓3x²
Percentage Increase = increased area / original area × 100
= 2✓3x² ÷ ✓3x²/4 × 100
= 2✓3x² × 4/✓3x² × 100
= 2 × 4 × 100
= 800%
Answer → The Increase in area of new Triangle is 800%.
__________________________
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