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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 8, 15, 17

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Question

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

8, 15, 17

Sum
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Solution

Take a = 8, b = 15 and c = 17

Now a2 + b2 = 82 + 152

= 64 + 225

= 289

172 = 289 = c2

∴ 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. (i) | Page 178

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