17. If each side of an equilateral triangle is 6v3 cm, then, find the altitude of an equilateral triangle
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Answer:
3√5 cm
Step-by-step explanation:
Given , side length of the equilateral triangle = 6√3
In the given triangle, ABC is a equilateral triangle, with AD as the altitude.
Using Pythagoras theorem,
AD² = AC² + DC²
Where DC = ½ AC = 6√3/2 = 3√3
=> AD = √ (6√3)²+(3√3)²
= √ 108 + 27
= √ 135 = 3√5
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