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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 8

Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem 9, 40, 41 - Mathematics

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Question

Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem

9, 40, 41

Sum

Solution

Take a = 9, b = 40 and c = 41

Now a2 + b2 = 92 + 402

= 81 + 1600

= 1681

c2 = 412 = 1681

∴ a2 + b2 = c2

Yes, By the converse of Pythagoras theorem, the triangle with given measures is a right angled triangle.

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Converse of Pythagoras Theorem
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Chapter 5: Geometry - Exercise 5.2 [Page 178]

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Samacheer Kalvi Mathematics [English] Class 8 TN Board
Chapter 5 Geometry
Exercise 5.2 | Q 3. (iv) | Page 178
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