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3. Which of the following sets of measurementscould NOT represent the lengths of the threesides that would form a triangle?A 3 ft. 4 ft. 5 ftB. 5 cm, 8 cm, 15 cm7 in, 7 in, 7 inD. 10 m, 10 m, 15 m7.62

1 Answer

5 votes

Remember that

The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side

You only need to see that the two smaller sides are greater than the largest side

Verify each option

Applying the triangle inequality theorem

A 3 ft. 4 ft. 5 ft

3+4 > 5 ----> is true

that means ----> the three sides form a triangle

B. 5 cm, 8 cm, 15 cm

5+8 > 15 ----> is not true

that means -----> the three sides do not form a triangle

C. 7 in, 7 in, 7 in

7+7 > 7 ----> is true

that means ----> the three sides form a triangle

D. 10 m, 10 m, 15 m

10+10> 15 ----> is true

that means ----> the three sides form a triangle

therefore

The answer is option B

User Eolith
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