Question

find the Pythagoras triplets from following
1. 3,4,5
2. 2,4,5 ​

Answer 1

Answer:

Answer is :- 3,4,5.

Step-by-step explanation:

As we know that,

Hypotenuse is the longest side of right - angled triangle.

By Pythagoras theorem,

$\sf{Base}^{2}+{Perpendicular}^{2}$ = $\sf{Height}^{2}$

Here,

In Case I,

$\sf{3}^2+{4}^2$ = $\sf{5}^2$

$\sf {9}+{16}$ = $\sf{25}$

$\sf{25}$ = $\sf{25}$

Hence, It's a Pythagoras Triplet.

Now,

In Case II,

$\sf{2}^2+{4}^2$ =$\sf{5}^2$

$\sf{4}+{16}$ = $\sf{25}$

$\sf{20}$ $\neq$ $\sf{25}$

Hence, It's not a Pythagoras Triplet.

$\sf{@Divya}$

Answer 2

Answer:

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1. 3,4 and 5 are Pythagoras triplet

Step-by-step explanation:

1. from Pythagoras theorem:

5² = 4² + 3²

25 = 16 + 9

25 = 25 , this is a Pythagoras triplet

2. from Pythagoras theorem:

5² = 4² + 2²

25 = 16 + 4

25 20 , this is not a Pythagoras triplet