For each diagram below, determine the value of
below is a triangle. is made of two right triangles with the same base and height. Calculate using the Pythagorean Theorem.
The diagram indicates
and are parallel. Which angles does that make congruent?
Since the segments are parallel,
. Therefore, the triangles are congruent by ASA , so .
is a right triangle, use the tangent ratio to find . Review the Math Notes boxes in Lessons 3.2.5 and 2.3.2. and are straight line
Review the triangle congruence theorems in the Math Notes box in Lesson 2.1.1.