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Square and Square Roots — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSSquare and Square Roots1 Mark
MCQ
The Pythagorean triples whose smallest number is $8:$
  • A
    $8, 17, 18$
  • B
    $8, 16 17$
  • C
    $8, 15, 16$
  • ✓
    $8, 15, 17$
✓

Answer

Correct option: D.
$8, 15, 17$
The general form of Pythagorean triplets is $2m, m^2- 1, m^2+ 1$
Given, $2m = 8$
So $, m = 4$
$m^2 - 1 = 4^2- 1 = 16 - 1 = 15$
$m^2+ 1 = 4^2+ 1 = 16 + 1 = 17$

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