Question

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

Answer 1

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