Question

examine if 9 cm , 10 cm ,12 cm are pythagorean triplets​

Answer 1

Let's understand what is Pythagoras Theorem

▽Pythagoras Theorem

The Pythagoras theorem consists of a formula:-

(Hypotenuse)² = (Base)² + (Perpendicular)²

This formula is used in right angled triangle to find the value of hypotenuse or base or perpendicular. This formula also helps in verifying the pythagorean triplets.

For example:-

3cm,4cm and 5cm are given to us. We have to verify if they are pythagorean triplets or not.

First of all, the longest length in the triplets is always hypotenuse.

According to formula:-

(H)² = (B)² + (P)²

(5)² = (4)² + (3)²

25 = 16 + 9

25 = 25

Hence, 3cm, 4cm and 5cm are pythagorean triplets.

Now lets get into the main question:

Q) Examine if 9 cm , 10 cm ,12 cm are pythagorean triplets.

A) Using Pythagoras theorem,

(Hypotenuse) ² = (Base) ² + (Perpendicular) ²

LHS= (Hypotenuse) ²

= (12)²

= 144

RHS = (9)² + (10)²

= 81 + 100

= 181

LHS≠RHS

Hence 9cm, 10cm and 12cm are not Pythagorean triplets.

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