Question

topi following is an example of Pythagorean triplet 1. (28,195,197)
2.(18,79,82)
3.(20,99,100)
4.(30,224,227)​

Answer 1

Answer:

(28,195,197) is Pythagorean triplet

Step-by-step explanation:

To find : Pythagorean triplet

Pythagorean triplet $(a,b,c)$ satisfies $a^2+b^2=c^2$.

Problem : Value is too great.

So we will use $a^2=c^2-b^2$.

And, $c^2-b^2=(c-b)(c+b)$ is easier to calculate.

(28,195,197), True

$28^2=197^2-195^2$

RHS : $2\times 392=784$

LHS : $784$

(18,79,82), False

$18^2=82^2-79^2$

RHS : $3\times 161=483$

LHS : $324$

(20,99,100), False

$20^2=100^2-99^2$

RHS = $1\times 199 = 199$

LHS = $400$

(30,224,227)​, False

$30^2=227^2-224^2$

RHS = $3\times 451=1353$

LHS = $900$