Angle-Side Relationships in Triangles
Explore the relationship between the angles and side lengths of triangles with this worksheet for 8th graders.
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Angle-Side Relationships in Triangles
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. In triangle ABC, if angle A = 70 degrees and angle B = 50 degrees, what is the measure of angle C?
2. Which of the following statements is true about the sides opposite the angles in a triangle?
The longest side is opposite the smallest angle.
The shortest side is opposite the largest angle.
The longest side is opposite the largest angle.
There is no relationship between side length and angle measure.
3. In a triangle, the sum of the lengths of any two sides must be than the length of the third side.
4. Consider triangle XYZ with side lengths XY = 8 cm, YZ = 12 cm, and XZ = 7 cm. Order the angles from smallest to largest.
5. A triangle can have side lengths of 5 cm, 7 cm, and 13 cm.
True
False
6. Draw a triangle ABC where angle A is the smallest angle and side BC is the shortest side. Label the angles and sides appropriately.