In triangle LMN, ∠ M = 90° and D is
the midpoint of MN.
Prove that LN2 = LD2
+ 3ND2(for figure refer the photo)
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answer for the given problem is given
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In the right angled triangle LMN, ∠M = 90∘. Hence, side LN is the hypotenuse.
According to Pythagoras' theorem,
l(LN)² = l(LM)² + l(MN)²
⇒(x)² = (7)² + (24)²
⇒x²= 49 + 576
⇒x² = 625
⇒x² = (25)2
⇒x = 25
∴ the value of x is 25.
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