Question

If the area of an equilateral triangle is 81√3 cm². Find the altitude of the triangles.

Answer 1

Answer: 9√3

Step-by-step explanation:

We know that area of equilateral triangle is=√3a^2/4

81√3=√3a^2/4

a^2=(81√3)×4/√3

a^2=81×4

a=√81×√4

a=18

WKT height of the equilateral triangle is√3a/2

H=√3×18/2

H=9√3

Answer 2

Step-by-step explanation:

are of equilateral triangle=√3/4×a²

81√3=√3/4×a² (a= side of triangle)

on solving,

a=18cm

altitude of an equilateral triangle=√3/2×a

thus, altitude=√3/2×18

=9√3 cm

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