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Angle-Side Relationships in Triangles

Explore the relationships between angles and side lengths in triangles, including theorems and their applications.

Grade 10 Math GeometryAngle Side Relationships in Triangles
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSG.SRT.B.5

Topics

geometrytrianglesanglessidesgrade 10
8 sections · Free to use · Printable
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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 = 60°, angle B = 40°, and angle C = 80°, which side is the longest?

a

Side a

b

Side b

c

Side c

d

Cannot be determined

2. If two sides of a triangle measure 5 cm and 12 cm, which of the following could be the length of the third side?

a

6 cm

b

7 cm

c

17 cm

d

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 angle measures 30°, 70°, and 80°. List the sides in order from shortest to longest. Explain your reasoning.

6. If a triangle is equilateral, then all its angles are equal.

T

True

F

False

7. A triangle can have side lengths 3 cm, 4 cm, and 8 cm.

T

True

F

False

8. Draw a triangle where the side opposite the largest angle is clearly the longest side. Label the angles and sides.

9. A carpenter is building a triangular frame. Two of the boards are 10 feet and 15 feet long. What are the possible whole number lengths for the third board?