Question

Where can the perpendicular bisectors of an acute triangle intersect? Help please!

Answer 1

inside the triangle, on the triangle, outside the triangle?

Answer 2

@TriniEmo

Answer 3

Only inside the triangle. Look at my diagram for ACUTE triangle ABC.

Answer 4

Thank you! it still confuses me though..what would it look like if it were outside the triangle and how come it doesnt work that way?

Answer 5

Notice that all 3 perpendiculars intersect at a single point. That point is called the orthocenter of the circle.

Answer 6

If you had an obtuse triangle...take a look at my diagram for tyriangle RST.

Answer 7

The perpendicular to side RS cannot be drawn from vertex T. We want a 90-degree angle and that cannot happen if you start with vertex T.

Answer 8

oh okay i see! thank you!

Answer 9

welcome.

Answer 10

In an obtuse triangle, the perpendiculars will meet outside the triangle.