The student drew a triangle, the two sides of which are 11 cm and 4 cm. How many centimeters can be the length of the third side?
a = 11 cm
b = 4 cm
A triangle exists only when the third side is less than the sum of any two sides and is greater than the difference between these sides.
a-b <c <a + b
11-4 <c <11 + 4
7 <c <15
We get that the third side of the triangle can take any value from 7 to 15 centimeters (but 7cm or 15cm cannot).
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