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If the side of a square is 1/2 (x + 1) units and its diagonal is (3 – x)/√2 units, then the length of the side of the square would be
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- 4/3 units
- 1/2 unit
- 1 unit
- 2 units
- 4/3 units
Correct Option: C
Using Rule 10,
Diagonal of square = √2 × side
= | = √2 × | (x + 1) | ||
√2 | 2 |
⇒ 3 - x = √2 × √2 × | (x + 1) | |
2 |
⇒ 3 – x = x + 1
⇒ x + x = 3 –1
⇒ 2x = 2 ⇒ x = 1 unit