Question

Geometry theorem problem:

Answer 1

It looks like this is asking you to prove that segments AC and BC are perpendicular using the slope formula.
\[m=\frac{ y_2-y_1 }{ x_2-x_1 }\]

Answer 2

what would y and x be? @peachpi

Answer 3

you'd use the coordinates of the points.
For example, A is (-c, 0) so for point A, x = -c and y = 0.

Answer 4

so to find the slope of AC, the points to plug into the formula would be (-c, 0) and (a, b)

Answer 5

(b)/(a+c) is not in any of the answer choices @peachpi

Answer 6

I used that formula but I don't get the answer.

Answer 7

are you sure, b/(a + c) looks like it's part of 3 of the answer choices

Answer 8

so you have the slope of AC. Find the slope of BC

Answer 9

does it equal = -1 or = 1?

Answer 10

slopes of perpendicular lines multiply to -1

Answer 11

they're opposite reciprocals