Question

The distance from. Eight to point B is blank units. This is from. Eight to. C is blank units. The decision for point B de point C is blank units. The given points choose/does not form a right triangle?

Answer 1

EXPLANATION

Since we have the given points:

A= (2,1)

B= (10,1)

C= (2,7)

We can represent this in a graphing calculator:

Now, in order to obtain the distance from A to B, we need to subtract both

x-coordinates points:

10-2 = 8 units

Therefore, the distance from A to B is 8 units.

Next, computing the distance from point A to the point C:

y_C - y_A = 7 - 1 = 6 units

Thus, the distance from point A to point C is 6 units.

In order to obtain the distance from the point B to C we need to apply the distance equation as shown as follows:

$\text{distance}=\sqrt[]{(7-1)^2+(10-2)^2}$

Subtracting numbers:

$\text{distance}=\sqrt[]{6^2+8^2}$

Computing the powers:

$\text{distance}=10\text{ units}$

The distance from point B to point C is 10 units.

Finally, we can conclude that the given points do form a right triangle.