Question

Which of the following is a Pythagorean Triplet?

(8,10,15)

(24,25,26)

(6,8,10)

(5,7,12)

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Answer 1

Answer:

(6,8,10)

Step-by-step explanation:

A "Pythagorean Triple" is a set of positive integers, a, b and c that fits the rule: ... 9 + 16 = 25 ... of the first few Pythagorean Triples (not including "scaled up" versions mentioned below):. (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) ... 62 + 82 = 102.

Answer 2

Answer:

by pythogoras theorem

the suare of hypotenuse= sum of squares of other two sides

(8,10,15)

8^2+10^2=64+100=164

and 15^2=225

here 164 not equal to 225 so it's not a pythogarean triplet

(24,25,26)

24^2+25^2=576+625=1201

26^2=676

so here 1201 and 676 are not equal so it is not Pythagorean triplet

(6,8,10)

6^2+8^2=36+64=100

10^2=100

so here 100=100

so here it satisfies the condition so

(6,8,10) is an Pythagorean triplet

(5,7,12)

here 5^2+7^2=25+49=74

12^2=144

here 74 and 144 are not equal

so it is not an Pythagorean triplet

so among the following the Pythagorean triplet is

(6,8,10)