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State if the following is true or false.

A triangle with sides 7 cm, 24 cm, 25 cm is a right angled triangle.

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True

False

answer is A.

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Detailed Solution

We are given a triangle with sides 7 cm, 24 cm, 25 cm.
The Pythagoras Theorem is given as,

H y p o t e n u s e 2 = B a s e 2 + P e r p e n d i c u l a r 2

We know,
For a right-angled triangle, the Pythagoras theorem should be valid.
The square of the sides can be written as,

72 = 49 242 = 576 252 = 625

Check whether the Pythagoras theorem is valid or not. Rewrite the square of

25^{2} .

That is,

252 = 625 ⇒ 252 = 49 + 576 ⇒ 252 = 72 + 242

Hence the Pythagoras theorem is valid and it is a right-angled triangle.
It is a right angled triangle.
Therefore, the statement is true.
Hence, option 1 is correct.

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