Question

out of the following which is a pythagorean triplet
a(5,12,14) b(3,4,2)
c(8,15,17) d(5,5,2)​

Answer 1

Answer:

c) ( 8 , 15 , 17)

Step-by-step explanation:

Pythagorean triplet is the triplet in which a² + b² = c²

So, 8² = 64, 15² = 225, 17² = 289

Since, 64 + 225 = 289

Therefore, C is the correct answer

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Answer 2

Given:

Triplets

To find:

The triplet that follows the Pythagoras theorem

Solution:

The required Pythagorean triplet is (8,15,17).

We can obtain the triplet's value by using Pythagoras theorem with the given triplets.

We know that the largest side's square should be equal to the square of the remaining sides.

So, we will obtain the triplet as follows-

a. (5,12,14)

=$5^{2} +12^{2}$=25+144=169

169≠$14^{2}$

b. (3,4,2)

=$2^{2} +3^{2}$=4+9=13

13≠$4^{2}$

c. (8,15,17)

=$8^{2} +15^{2}$=64+225=289

289=$17^{2}$

d. (5,5,2)​

=$2^{2} +5^{2}$=4+25=29

29≠$5^{2}$

So, only (8,15,17) follows the theorem.

Therefore, the required Pythagorean triplet is (8,15,17).