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(B) To determine if the triangle is a right triangle,we check if it satisfies the Pythagorean theorem,which states that for a right triangle,the squar

Vedclass · Accepted Answer

No

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(B) To determine if the triangle is a right triangle,we check if it satisfies the Pythagorean theorem,which states that for a right triangle,the square of the longest side must be equal to the sum of the squares of the other two sides.Let the sides be $a = 25 \, cm$,$b = 5 \, cm$,and $c = 24 \, cm$.The longest side is $a = 25 \, cm$.Calculate the square of the longest side: $a^2 = (25)^2 = 625 \, cm^2$.Calculate the sum of the squares of the other two sides: $b^2 + c^2 = (5)^2 + (24)^2 = 25 + 576 = 601 \, cm^2$.Since $a^2 
eq b^2 + c^2$ $(625 
eq 601)$,the triangle does not satisfy the Pythagorean theorem.Therefore,the triangle with sides $25 \, cm$,$5 \, cm$,and $24 \, cm$ is not a right triangle.

Is the triangle with sides $25 \, cm$,$5 \, cm$,and $24 \, cm$ a right triangle? Give reasons for your answer.

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