Question

the side of a triangle is 7,24,25 units. prove that it is a right angled triangle ​

Answer 1

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Given :

• Sides of triangle = 7, 24 and 25

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To Prove :

• Triangle ABC is a right angle triangle

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Proof :

In right triangle ABC,

By using Pythagorous Theorem

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${Hypotenuse}^{2} = {Height}^{2} + {Base}^{2}$

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$\bf {25}^{2} = {24}^{2} + {7}^{2}$

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$\bf625 = 576 + 49$

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$\bf625 = 625$

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Therefore, ABC is a right angle triangle.

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✏Additionally :

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• The Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. This theorem is discovered by the Greek mathematician and philosopher, Pythagoras.

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• The Pythagorean equation relates the sides of a right triangle in a simple way, so that if the lengths of any two sides are known the length of the third side can be found.