Question

which of the following triplets are Pythagorean ?
i) 10,24,26
ii) 14,48,50
iii) 18,79,82
iv) 22,120,122​

Answer 1

Answer:

(i), (ii) and (iv) are Pythagorean triplets.

Step-by-step explanation:

Pythagorean triplets consist of three values, a, b and c such that:

a² + b² = c²

• Consider the first triplet: (10, 24, 26)

Check whether they are Pythagorean triplets as follows:

$10^{2}+24^{2}=100+576=676=26^{2}$

They are Pythagorean triplets.

• Consider the first triplet: (18, 48, 50)

Check whether they are Pythagorean triplets as follows:

$14^{2}+48^{2}=196+2304=2500=25^{2}$

They are Pythagorean triplets.

• Consider the first triplet: (18, 79, 82)

Check whether they are Pythagorean triplets as follows:

$18^{2}+79^{2}=324+6241=6565\neq 82^{2}$

They are not Pythagorean triplets.

• Consider the first triplet: (22, 120, 122)

Check whether they are Pythagorean triplets as follows:

$22^{2}+120^{2}=484+14400=14884= 122^{2}$

They are Pythagorean triplets.

Answer 2

Answer:

see the attachment

Step-by-step explanation: