Angle-Side Relationships in Triangles
This worksheet focuses on understanding and applying the relationships between angles and sides in triangles for Grade 9 Math students.
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Standards
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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 for full credit.
1. In triangle ABC, if angle A = 30°, angle B = 70°, and angle C = 80°, which side is the longest?
Side AB
Side BC
Side AC
Cannot be determined
2. If two sides of a triangle are 5 cm and 8 cm, what is a possible length for the third side?
2 cm
3 cm
13 cm
10 cm
3. The longest side of a triangle is always opposite the angle.
4. The sum of the lengths of any two sides of a triangle must be than the length of the third side.
5. Consider a triangle with angles measuring 45°, 60°, and 75°. If the side opposite the 60° angle is 10 units long, what can you say about the lengths of the other two sides relative to 10 units?
6. Can a triangle have side lengths of 4 cm, 7 cm, and 12 cm? Explain your reasoning.
7. In any triangle, the angle opposite the shortest side is the smallest angle.
True
False
8. In the triangle below, arrange the sides in order from shortest to longest: