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Question

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


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Solution

Pythagoras Theorem:

A right triangle with sides 6cm,10cm and 8cm

Let,

a=10cmb=8cmc=6cm

To form a right-angled triangle we know the condition that the square on one side must be equal to the sum of the square of the other two sides of the right-angle triangle.

hyp2=adj2+opp2a2=b2+c2102=82+62100=64+36100=100

LHS=RHS

Since the square on one side is equal to the sum of the square of the other two sides.

Hence, the right-angle triangle is formed by the given sides 6cm, 10cm and 8cm.


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