Question

ldentify with reason which of the following are pythogorean triplet 9,4,12
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Answer 1

Answer:

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Following are Pythagorean triplets.

(i)(3, 5, 4)  

(iii)(5, 12, 13)

(iv) (24, 70, 74)

(vi)(11, 60, 61)

Step-by-step explanation:

to be Pythagorean triplets.

Hypotenuse² = Base² + height²

Hypotenuse is largest side in triangle

(i)(3, 5, 4)   iff  5² = 3² + 4² => 25 = 9 + 16 => 25 = 25  - True

(ii)(4, 9, 12)   iff 12² = 9² + 4² => 144 = 81 + 16 but  144 ≠ 97 so False

(iii)(5, 12, 13)  iff  13² = 12² + 5² => 169 = 144 + 26 =>169 = 169  - True

(iv) (24, 70, 74)   iff  74² = 70² + 24² => 5476 = 4900 + 576 =>5476 = 5476  - True

(v)(10, 24, 27)   iff 27² = 24² + 10² =>729 = 576 + 100 but  729 ≠ 676 so False

(vi)(11, 60, 61) iff  61² = 60² + 11² => 3721 = 3600 + 121 =>3721 = 3721  - True

Answer 2

Step-by-step explanation:

9^2 + 4^2 = 81 + 16 = 97 not equal to square of 12 which is 144