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12. A triangle of area 9y cm2? has been drawn such that its area is equal to area of equilateraltriangle of sides 6 cm then y is* √2 cm*√3 cm*2cm*3 cm |
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Answer» :The value of y is √3 CM. [ Option 2 ]Step-by-step explanation :Given :Area of triangle = 9Y cm²Side of the triangle = 6 cm. To FIND :Value of y = ?SoluTion :We'll solve the QUESTION by USING Area of a equilateral triangle. Area of equilateral triangle is given by, ➝ A = √3/4 × a²➝ A = √3/4 × 6²⠀⠀⠀⠀eqn(1).Now, as the area of the triangle is given, So, ➟ A = 9y➟ √3/4 × 6² = 9y [From eqn(1).]➟ √3/4× 36 = 9y ➟ √3 × 9 = 9y➟ y = √3 × 9 / 9➟ y = √3 cm. Hence, the value of y is √3 cm .Some important formulae :1. Area of equilateral triangle = √3/4 × a²2. Area of isosceles triangle = b×h/23. Area of scalene triangle = 1/2 × b × h 4. Area of triangle(Herons formula) :⠀A = √s(s -a) (s -b) (s - c) |
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