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प्रश्न
ΔABC is an equilateral triangle of side 2a, then length of one of its altitude is ______.
रिक्त स्थान भरें
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उत्तर
ΔABC is an equilateral triangle of side 2a, then length of one of its altitude is `underlinebb(asqrt(3))`.
Explanation:
ABC is an equilateral triangle in which AD ⊥ BC.
From ΔABC,
AB2 = (AD)2 + (BD)2 ...(By using Pythagoras Theorem)
⇒ (2a)2 = (AD)2 + (a)2
⇒ 4a2 – a2 = (AD)2
⇒ (AD)2 = 3a2
⇒ AD = `asqrt(3)`
Hence, the length of attitude is `asqrt(3)`.
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