The length of two sides of a triangle are 5cm and 12cm.Between. Between which two numbers can length of the third side fall
Answers
To answer this, imagine the two sides, 12 and 5 cm long, joined at one end, a bit like the hands of a clock. The other side of the triangle will be a line connecting the outer ends of the two lines.
This distance will be smallest when the two ‘hands’ are pointing in the same direction (say 12:00 O’clock), the distance between the two ends would be 12–5 = 7cm. Now if they were pointing in exactly the same direction, we wouldn’t have a triangle, but we would have one if there was the smallest angle between them. 7cm would be a lower limit to the length of the third side of the triangle.
The two ends would be furthest away if they were pointing in exactly the opposite direction, say 6:00 O’clock. Then, the distance between the two ends would be 12 + 5 = 17 cm. This is an upper limit to the length of the third side. It can be arbitraily close to 17, but not equal to it and not greater.
So, the length of the third side must be between 7 and 17, but cannot be equal to either value.
Answer:
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