D/75 =25HELP PLEASE PLEASE
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Answer:
Step-by-step explanation:
To find the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1), we are going to be using the midpoint formula, which states that:
The midpoint is at . Where:
Then, the midpoint is at:
=
Now, to find the coordinates of the point that is 1/4 of the way, we are going to calculate the midpoint between the point 'A' and the midpoint previously caculated, as follows:
⇒ =
Therefore, the point is 1/4 of the way from A to B is:
You can focus on the two sub-triangles ABC and ACD
We know that they are both right triangles, because we're given that AC and BD are perpendicular.
The sides AB and AD are the hypothenuses of these triangles, so we know their length through the pythagorean theorem:
But since we're given , the expressions for AD and AB are actually the same expression. This proves that AD=AB, and thus that the triangle is isosceles.