Triangle Properties (Bisectors & Midsegment)

Front

What is a triangle bisector?

Back

A triangle bisector is a line segment that divides an angle of the triangle into two equal angles.

Front

What is the Midsegment of a triangle?

Back

The Midsegment of a triangle is a segment that connects the midpoints of two sides of the triangle.

Front

What is the relationship between the lengths of the sides of a triangle and its bisector?

Back

The length of a triangle's angle bisector can be calculated using the formula: l = (2bc)/(b+c) * cos(A/2), where A is the angle opposite the side being bisected.

Front

How does the Midsegment relate to the sides of the triangle?

Back

The Midsegment is parallel to the third side of the triangle and its length is half the length of that side.

Front

What is the Angle Bisector Theorem?

Back

The Angle Bisector Theorem states that the ratio of the lengths of the two segments created by the bisector on the opposite side is equal to the ratio of the lengths of the other two sides of the triangle.

Front

If a triangle has sides of lengths 8m and 6m, what is the length of the segment created by the angle bisector?

Back

Using the Angle Bisector Theorem, the length of the segment can be calculated based on the ratio of the sides.

Front

What is the formula for finding the length of a Midsegment?

Back

The length of a Midsegment is calculated as half the length of the side it is parallel to.

Front

If the Midsegment of a triangle is 5m, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 10m.

Front

What is the significance of the centroid in relation to triangle bisectors?

Back

The centroid is the point where the three medians of a triangle intersect, and it divides each median into a ratio of 2:1.

Front

How do you find the area of a triangle using its base and height?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.