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Check whether the following measures (in cm) can be the sides of a right-angled triangle or not. 1.5, 3.6, 3.9 - Mathematics

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Question

Check whether the following measures (in cm) can be the sides of a right-angled triangle or not.

1.5, 3.6, 3.9

Sum

Solution

For a right-angled triangle, the sum of squares of two shorter sides must be equal to the square of the third side.

Now, 1.52 + 3.62 = 2.25 + 12.96 = 15.21

Also, (3.9)2 = 15.21

⇒ (1.5)2 + (3.6)2 = (3.9)2

Hence, the given sides form right angled triangle.

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Chapter 6: Triangles - Exercise [Page 178]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 6 Triangles
Exercise | Q 138. | Page 178
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