5
QuizMultiple Select

Constructing Triangles

Question 5 • FL-1205040-M/J Grade 7 Mathematics B -GF

Ulani is constructing a triangle that has sides measuring 12 cm and 28 cm. Which measurements could be the length of the third side? Select two options.

Answer
A
15 cm
B
24 cm
C
38 cm
D
41 cm
E
53 cm

Explanation

For three lengths to form a triangle, the third side must be greater than the difference of the other two sides and less than their sum. Here, 28 − 12 = 16 and 28 + 12 = 40, so the third side must be more than 16 cm and less than 40 cm. Both 24 cm and 38 cm fit this range.

AI-written and checked against the verified answer.

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