Question 91

The distance between the points (2, 7) and (k, -5) is 13. What is the value of k?

Solution

$$\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}$$ = $$13$$

$$(-5-7)^{2}+(k-2)^{2}$$ = $$169$$

$$144+(k-2)^{2}$$ = $$169$$

$$(k-2)^{2}$$ = $$169-144$$

$$k-2 = 5$$

$$ k = 7$$

So the answer is option B.

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