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प्रश्न
The altitude of an equilateral triangle of side 8 cm is ______.
रिकाम्या जागा भरा
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उत्तर
The altitude of an equilateral triangle of side 8 cm is `underlinebb(4sqrt(3) cm)`.
Explanation:
In an equilateral triangle of side 8 cm the altitude drops to the midpoint of the base, so half the base = 4 cm.
Using Pythagoras: 82 = h2 + 42
⇒ h2 = 64 – 16
= 48
⇒ h = `sqrt(48)`
= `4sqrt(3)` cm
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