The length of the side of an equilateral triangle is 4√3 cm. Find its height. Option 1: 4 cm Option 2: 6√3 cm Option 3: 4√3 cm Option 4: 6 cm

Answer: 6 cm. Solution: For an equilateral triangle with side a, height h = √3/2a. Substituting a = 4√3: h = √3/2 x 4√3 = (4 x 3)/2 = 6 cm.

Geometry

Triangles

Easy

The length of the side of an equilateral triangle is $4\sqrt{3}$ cm. Find its height.

4 cm

$6\sqrt{3}$ cm

$4\sqrt{3}$ cm

6 cm

✅ Correct Option: 4

For an equilateral triangle with side $a$ , height $h = \frac{\sqrt{3}}{2}a$ . Substituting $a = 4\sqrt{3}$ : $h = \frac{\sqrt{3}}{2} \times 4\sqrt{3} = \frac{4 \times 3}{2} = 6$ cm.

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The length of the side of an equilateral triangle is $4\sqrt{3}$ cm. Find its height.