Find the largest scale size to measure accurately, the three equilateral triangles with sides measuring 129 cm, 172 cm and 215 cm. (In cm)

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OSSC TGT Official Paper (Held On: 11 Mar, 2023 Shift 3)
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  1. 43
  2. 45
  3. 49
  4. 47

Answer (Detailed Solution Below)

Option 1 : 43
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Detailed Solution

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Given:

Side lengths of equilateral triangles: 129 cm, 172 cm, and 215 cm.

Concept Used:

To find the largest scale size to measure accurately, we need to find the greatest common divisor (GCD) of the side lengths.

Calculation:

GCD of 129, 172 and 215.

129 = 3 × 43

172 = 2 × 86 = 2 × 2 × 43

215 = 5 × 43

GCD = 43

The largest scale size to measure accurately the three equilateral triangles is 43 cm.

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