Question 94

Solve the following question:

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

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Solution

We know that in a right-angled triangle the sum of the square of two smaller sides is equal to the square of the longer side.
$∵ 10^{2} = 100 = 64 + 36 = 8^{2} + 6^{2}$
Hence, 6 cm, 8 cm, and 10 cm are the sides of a right-angled triangle.

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Construction of Square

Standard VIII Mathematics

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Question 94 Solve the following question: Can a right-angled triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.

We know that in a right-angled triangle the sum of the square of two smaller sides is equal to the square of the longer side. ∵102=100=64+36=82+62 Hence, 6 cm, 8 cm, and 10 cm are the sides of a right-angled triangle.

Question 94

Solve the following question:

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

We know that in a right-angled triangle the sum of the square of two smaller sides is equal to the square of the longer side.
$∵ 10^{2} = 100 = 64 + 36 = 8^{2} + 6^{2}$
Hence, 6 cm, 8 cm, and 10 cm are the sides of a right-angled triangle.