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Q.

State whether the given statement is true or false:

A right triangle is possible with the sides of length 15 cm, 20 cm and 25 cm.

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a

True

b

False

answer is A.

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Detailed Solution

It is given the statement is a right triangle is possible with the sides of length 15 cm, 20 cm and 25 cm.
We know that Pythagoras theorem states that

We take the longest side to be the hypotenuse and the other two will be the base and perpendicular.
H = 25 cm, B = 20 cm and P = 15 cm.
LHS

= H^{2} = 2 5^{2}

=625
RHS

= B^{2} + P^{2} = 2 0^{2} + 1 5^{2}

= 400 + 225

= 625

Since LHS = RHS, the condition for Pythagoras theorem is satisfied.
So, a right triangle with given dimensions is possible.
Therefore, the correct option is 1.

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