Question

11. The height of an equilateral triangle measures 9cm. Find its area correct to 2 places of decimal$(\sqrt{3} =1.732)$

Answer 1

Answer:

Step-by-step explanation:

Hi friend

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Your answer

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Height of an equilateral triangle = 9 cm

Now,

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√3/2 × side = Height

√3/2 × side = 9

=> side = (9 × 2)/√3

=> Side = 3√3 × 2 = 6√3 cm

Again,

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Area = √3/4 × (side)²

= [√3/4 × 6√3 × 6√3] cm²

= 27√3 cm²

= (27 × 1.732) cm² [Taking √3 = 1.732]

= 46.764 cm²

= 46.76 cm² (correct to 2 decimal places.)

HOPE IT HELPS