Question

Find the length of chord AB. Assume the graph is scaled by ones. Give exact and

approximate answers. Round to the nearest hundredth.
O sqrt(34); 5.83 units
O sqrt(24): 4.90 units
O sqrt(26): 5.10 units
O sqrt(10): 3.16 units

Answer 1

Answer: Choice C

exact length = sqrt(26) units

approximate length = 5.10 units

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Work Shown:

We can use the distance formula.

A = (x1,y1) = (2,2)

B = (x2,y2) = (1,-3)

`d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((2-1)^2 + (2-(-3))^2)\\\\d = √((2-1)^2 + (2+3)^2)\\\\d = √((1)^2 + (5)^2)\\\\d = √(1 + 25)\\\\d = √(26)\\\\d \approx 5.0990195\\\\d \approx 5.10\\\\`

The distance from A to B is exactly sqrt(26) units which approximates to 5.10 units. This distance represents the length of chord AB.