Section Warm-Up
In this section, you will need to be able to recognize the parts of a given triangle. You will also need to be able to solve for other parts that are not given. As a review, let’s look at some triangles and define what we are given and what needs to be found.
Think & Click: Section Warm-Up
Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.
1. Draw a triangle with the following measurements.
a = 6
b = 10
c = 6
Recall that the standard way to label triangles is an angle and the side opposite the angle are named with the same letters, side lengths with lowercase letters and angles with uppercase letters.
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Triangle ABC |
2. Draw a triangle with the following measurements.
x = 61
y = 37
Describe what parts of the triangle are given.
Recall that the standard way to label triangles is an angle and the side opposite the angle are named with the same letters, side lengths with lowercase letters and angles with uppercase letters.
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Triangle XYZ |
3. If you know that the measures of two angles in a triangle are 43° and 77°, what is the measure of the third angle?
180 – 43 – 77 = 60
The third angle measures 60°.
4. Describe the information given about the triangle below. Is there any measure in the triangle you can find with the information you know?
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Triangle with two angles and a side given |
We are given information about the measures of two angles and the included side.
We can find the measure of the third angle.
180 – 46 – 57 = 77
The third angle measures 77°.
