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Question
In ∆LMN, l = 5, m = 13, n = 12 then complete the activity to show that whether the given triangle is right angled triangle or not.
*(l, m, n are opposite sides of ∠L, ∠M, ∠N respectively)
Activity: In ∆LMN, l = 5, m = 13, n = `square`
∴ l2 = `square`, m2 = 169, n2 = 144.
∴ l2 + n2 = 25 + 144 = `square`
∴ `square` + l2 = m2
∴By Converse of Pythagoras theorem, ∆LMN is right angled triangle.
Solution
In ∆LMN,
l = 5, m = 13, n = 12
∴ l2 = 25, m2 = 169, n2 = 144.
∴ l2 + n2 = 25 + 144 = 169
∴ n2 + l2 = m2
∴By Converse of Pythagoras theorem, ∆LMN is right angled triangle.
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