A side of an equilateral ABC is 6cm find the side of another ∆pqr whose area is9time the area of ∆ABC
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Step-by-step explanation:
Area of equilateral = (√3/4)×a² (a = side)
Area of ∆ABC
= (√3/4)×6²
= (√3/4)×36
= 9√3
Area of ∆PQR = 9 times of ∆ABC
Area of ∆PQR = 9 × 9√3
= 81√3
Side of ∆PQR (a) =
(√3/4)×a² = 81√3
a² = (81√3 × 4)/√3
a² = 81 × 4
a² = (9×9) × (2×2)
a = 9 × 2
a = 18
So, The side of ∆PQR is 18
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