10) The three sides of a triangle are 7cm, 24cm and 25cm. Determine whether it is a right triangle.
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9
:Do sides 7cm ,24cm ,25cm form a right angle triangle . As hypotenuse sides is always greater length side i.e 25 cm . Thus the square of the hypotenuse length is equal to the sum the squares of base and perpendicular length ....
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GIVEN :-
- Three sides of triangle are 7 cm , 24 cm , 25 cm.
TO VERIFY :-
- Wheather it is a right triangle or not.
SOLUTION :-
Here , We will use the Pythagorean triplet , If sides of a triangle are a Pythagorean triplet , then we can say that the triangle is a right angle triangle. So let's apply the Pythagorean triplet rule in all the three sides of triangle.
As we know that in " Pythagorean Triplet " , the sum of square of first two side is equal to the square of third side
, i.e,
✮ a² + b² = c²
➳ (7)² + (24)² = (25)²
➳ 49 + 576 = 625
➳ 625 = 625
Hence the triangle is a right angle triangle.
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