Question

use pythagoras theorem to determine which of the sets below are Pythagorean triples;
a)15,20,25
b)11,22,30
c)10,24,26
d)6,8,9

Answer 1

Answer:

A) &C) are Pythagorean triples.

Step-by-step explanation:

A) 15,20,25

$15 {}^{2} + {20}^{2} = {25}^{2} from \: pythagoras \: theorem$

gives us ,

625=625

therefore , it is a Pythagorean triple.

B) 30,22,11

${30}^{2} = {22}^{2} + {11}^{2}$

gives us ,

900 not equal to 562

therefore , it is not a Pythagorean triple.

C) 26,24,10

${26}^{2} = {24}^{2} + {10}^{2}$

gives us , 676=676

therefore, it is a Pythagorean triple.

D) 8,9,6

${9 }^{2} = {6}^{2} + {8}^{2}$

gives us , 100 not equal to 81.

therefore it is not a Pythagorean triple.

Hope it was helpful.

Answer 2

a) and c) are the correct answers....by the Pythagorean’s theorem I have found Pythagorean triplets