Question

10. Find the perimeter and area of an equilateral triangle whose height is 12 cm. write your,
correct to two decimal places.

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Answer 1

Height of the equilateral triangle ( h ) = 12 cm

(i)

Side ( a ) = ( 2h ) / √3

= ( 2 × 12 ) / √3

= ( 8 × 3 ) / √3

= 8√3 cm

Perimeter = 3a

= 3 × 8√3

= 24√3

= 41.56 cm

(ii)

Area = ( √3 / 4 ) a²

= ( √3 / 4 ) ( 8√3 ) ²

= 48√3 cm^2

= 83.13 cm^2

Hope it helps!