Question

If equilateral triangle side 24 cm find the length of the altitude

Answer 1

ANSWER:--------

given :-

length of the side of the equilateral triangle = 24cm^2

formula to find the area of an equilateral triangle is √3/4 * side^2

∴ area of the triangle = √3/4 * 24 * 24

= √3 * 5 * 24

= 120√3cm^2

now, also 1/2 * b * h = area of a triangle

⇒ 1/2 * 24 * h = 120√3cm^2

⇒ 12  * h = 120√3cm^2

⇒ h = 120√3/12

⇒ h = 10√3 cm

hence, the length of the altitude of the triangle is 10√3cm.

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