#### Question

The sides of triangle is given below. Determine it is right triangle or not.

a = 8 cm, b = 10 cm and c = 6 cm

#### Solution

In order to prove that the given sides of a certain triangle forms a right angled triangle we have to prove that square of the larger side is equal to the sum of the squares of the other two sides.

Here, the larger side is b = 10 cm.

Hence, we have to prove that a^{2} + c^{2} = b^{2}.

Let solve the left hand side of the above equation.

a^{2} + c^{2} = 8^{2} + 6^{2}

= 64 + 36

= 100

Now we will solve the right hand side of the equation,

b^{2} = 10^{2} = 100

Here we can observe that left hand side is equal to the right hand side that is a^{2} + c^{2} = b^{2} .

Therefore, the given sides of a certain triangle form a right angled triangle.

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#### APPEARS IN

Solution for question: The Sides of Triangle is Given Below. Determine It is Right Triangle Or Not. a = 8 Cm, B = 10 Cm and C = 6 Cm concept: Application of Pythagoras Theorem in Acute Angle and Obtuse Angle. For the course CBSE