Question

*Three numbers form a Pythagorean triplet. Two of them are 15 and 17 where 17 is the largest of them. The third number is ………..*

1️⃣ 8
2️⃣ 12
3️⃣ 13
4️⃣ 5​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Three numbers form a Pythagorean triplet. Two of them are 15 and 17 where 17 is the largest of them. The third number is

1. 8

2. 12

3. 13

4. 5

EVALUATION

Here it is given that Three numbers form a Pythagorean triplet. Two of them are 15 and 17 where 17 is the largest of them.

Let x be the third number

So by the given condition

$\sf{ {(15)}^{2} + {x}^{2} = {(17)}^{2} }$

$\sf{ \implies \: 225 + {x}^{2} = 289 }$

$\sf{ \implies \: {x}^{2} = 64 }$

$\sf{ \implies \: x = 8 }$

Hence the third number = 8

FINAL ANSWER

The correct option is 1. 8

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