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Maharashtra State BoardSSC (English Medium) 10th Standard

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)

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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.

Activity
Sum
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Solution

In ∆LMN, l = 5, m = 13, n = \[\boxed{12}\]

∴ l2 = \[\boxed{25}\], m2 = 169, n2 = 144.

∴ l2 + n2 = 25 + 144 = \[\boxed{169}\]

∴ \[\boxed{n^2}\] + l2 = m2 

∴ By Converse of Pythagoras theorem, ∆LMN is right angled triangle.

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Converse of Pythagoras Theorem
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Chapter 2: Pythagoras Theorem - Q.2 (A)

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