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11 votes
11 votes
Find the range for the measure of the third side of a triangle given the measure of two sides.

10.5 cm, 4 cm
Oa. 4 cm Ob. 4 cm >x> 10.5 cm
Oc. 6.5 cm >x> 10.5 cm
Od. 6.5 cm

User Remko Jansen
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1 Answer

26 votes
26 votes

Answer:

6.5 cm < x < 14.5 cm

Explanation:

The length of the side of a triangle must be greater than the difference of the lengths of the other two sides and less than the sum of the other two sides.

Difference: 10.5 cm - 4 cm = 6.5 cm

Sum: 10.5 cm + 4 cm = 14.5 cm

Answer: 6.5 cm < x < 14.5 cm

User TGuimond
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3.0k points