Question

i) In triangle LMN, l= 5, m= 13, n= 12. State whether triangle LMN is a right angled triangle or
not.​

Answer 1

Answer:

Step-by-step explanation:

Let's check this using Pythagoras Theorem,

⇒ H² = P² + B²

⇒ (13)² = (12)² + (5)²

⇒ 169 = 144 + 25

⇒ 169 = 169

∴ ΔLMN is a right-angled Δ because Pythagoras Theorem is only applicable on right-angled Δ's.

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Answer 2

Answer:

Δ LMN is a right angled triangle.

Step-by-step explanation:

In ΔLMN,

l = 5 ; m = 13 ; n =12

∴ l² = 25 ; m² = 169 ; n² = 144

∴ l² + n² = 25 + 144

             = 169

∴ l² + n² = m²

∴ By converse of pythagoras theorem, Δ lmn is a right angled triangle.

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