IM 6.1.9 Lesson: Formula for the Area of a Triangle

Study the examples and non-examples of bases and heights in a triangle.

Select all the statements that are true about bases and heights in a triangle.

Select all that apply

A
Any side of a triangle can be a base.
B
There is only one possible height.
C
A height is always one of the sides of a triangle.
D
A height that corresponds to a base must be drawn at an acute angle to the base.
E
A height that corresponds to a base must be drawn at a right angle to the base.
F
Once we choose a base, there is only one segment that represents the corresponding height.
G
A segment representing a height must go through a vertex.

For each triangle: Identify a base and a corresponding height, and record their lengths in the table below. Record their areas in the table. In the last row, write an expression for the area of any triangle, using b and h.