Question

In the coordinate plane shown, how far apart are points B and D? Explain how you can use the Pythagorean theorem to determine this.

Answer 1

Answer:

10.3 units

Step-by-step explanation:

From the given graph, we can see the coordinates of the points B (-2, 4) and D (3, -5).

To use the Pythagorean Theorem, we must have a right angled triangle. So we can select a point X (3, 4) to calculate the distance between B and D using the Pythagoras Theorem.

BX = 5, XD = 9

BD = $\sqrt{BX^2+XD^2}$

BD = $\sqrt{(5)^2+(9)^2} =\sqrt{106} =10.29$

Therefore, the points B and D are 10.3 units apart.