Can a right triangle with sides 6cm,
Question:

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

Solution:

From the question it is given that,

Sides of the right angle triangle are 6 cm, 10 cm and 8 cm

We know that, the square one side must be equal to the sum of square of other two sides of right angle triangle.

i.e. a2 = b2 + c2

Where, a = 10 cm, b = 8 cm, c = 6 cm

102 = 82 + 62

100 = 64 + 36

100 = 100

∴Right angle triangle is formed by the given sides 6cm, 10cm and 8cm.

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