Circles Theorems & Properties - Exam Prep Problem Set

Circles - Theorems and Properties - Problems on Triangles - Problem Set

Q. If the lengths of two sides of a triangle are 5 cm and 12 cm, what is the maximum possible length of the third side?

A. 16 cm
B. 17 cm
C. 18 cm
D. 19 cm

Solution

According to the triangle inequality theorem, the length of the third side must be less than the sum of the other two sides. Therefore, the maximum length is 5 + 12 = 17 cm.

Correct Answer: B — 17 cm

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Q. If triangle ABC is congruent to triangle DEF, which of the following must be true?

A. AB = DE
B. Angle A = Angle D
C. AC = DF
D. All of the above

Solution

If two triangles are congruent, all corresponding sides and angles are equal.

Correct Answer: D — All of the above

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Circles - Theorems and Properties - Problems on Triangles - Problem Set

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