Question

state which of this triplets from pythagoren triplets (iii) 24,10,26​

Answer 1

Step-by-step explanation:

If this triplet is an Pythagorean triplets.

then it must have to satisfy it.

And we know that Pythagoras is valid only in right angled triangle which have hypotenuse as largest side of that triangle.

Now watch pic.

Best of Luck

Answer 2

To Check: Whether (24, 10, 26) is a Pythagorean triplet or not.

Method 1: See the previous answer by @suryanshazmjrs02.

He used the formula,

c² = a² + b²

where,

• c = Biggest number in the triplet &
• a, b = Other two numbers.

Method 2:

We know,

a Pythagorean triplet = (2m, m² + 1, m² - 1)

where,

• m = Half of the smallest term in the triplet.

We observed,

10 < 24 < 26

or,

2m = 10 (smallest)

→ m = 5

Thus, the triplet is:-

[2(5), (5)² + 1, (5)² - 1]

= (10, 25 + 1, 25 - 1)

= (10, 26, 24).

Thus, (24, 10, 26) is a Pythagorean triplet.