Question

If two adjacent vertices of a square are (1, 2) and ( 2, 6), then the area of the square is (in square units) ​

Answer 1

Given→

Two adjacent vertices of a square are (1, 2) and ( 2, 6)

To find→

Area of square

Solution→

Length of side = distance between (1,2) and (2,6)

= √[(1-2)²+(2-6)²]

= √[(-1)²+(-4)²]

= √(1+16)

= √17 unit

Area of square = side ²

= (√17 unit )²

= 17 unit²

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