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Can a right triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason. - Mathematics

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Question

Can a right triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.

Sum

Solution

Given: Sides of triangle 6 cm, 10 cm and 8 cm

As we know,

For right-angle triangle, square of one side must equal to sum of square of other two sides.

i.e. (10)2 = (6)2 + (8)2

100 = 36 + 64

⇒ 100 = 100

Hence, 6 cm, 10 cm and 8 cm are sides of triangle.

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Chapter 3: Square-Square Root and Cube-Cube Root - Exercise [Page 93]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 3 Square-Square Root and Cube-Cube Root
Exercise | Q 94. | Page 93

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