Question

which of the following is a Pythagorean triplet : a) 2,3,5 b) 5,7,9, c) 6,9,11 d) 8,15,17​

Answer 1

Answer:

8,15,17 are the phythagoran tripet

Answer 2

The Pythagorean triplet is d) 8,15,17.

Given - Values

Find - Pythagorean triplet

Solution - We know that largest side in right angled triangle is hypotenuse. Thus, the remaining two sides are base and perpendicular.

Also, as per Pythagoras theorem,

Base² + Height² = Perpendicular²

Keep the values in formula to find Pythagorean triplet.

a) 2,3,5

2² + 3² = 5²

4 + 9 = 25

13 = 25

Not a Pythagorean triplet

b) 5,7,9

5² + 7² = 9²

25 + 49 = 81

74 = 81

Not a Pythagorean triplet

c) 6,9,11

6² + 9² = 11²

36 + 81 = 121

117 = 121

Not a Pythagorean triplet

d) 8,15,17

8² + 15² = 17²

64 + 225 = 289

289 = 289

This is a Pythagorean triplet as LHS = RHS.

Thus, d) 8,15,17 is a Pythagorean triplet.

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