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Question
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
24, 45, 51
Solution
Take a = 24, b = 45 and c = 51
Now a2 + b2 = 242 + 452
= 576 + 2025
= 2601
c2 = 512 = 2601
∴ a2 + b2 = c2
Yes, By the converse of Pyhtagoreas theorem, the triangle with given measure is a right angled triangle.
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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.
