The length of the side of an equilateral triangle is 12 \sqrt3 cm. Find its height.

Mensuration Practice Test 3

Question : 4 of 40

Marks: +1, -0

The length of the side of an equilateral triangle is 12

√3

cm. Find its height.

Solution:

Area of the equilateral Δ =

√3/4 (\side)^2

√3/4 × (12√2)^2

√3/4 × 144 × 3

108 √3

sq .m
Area of the triangle =

1/2 × b × \altitude

108√3

1/2 × {12}/{3}

× altitude

108 √3 × 2 ×1/{12√3}

= altitude
18 cm height

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