Answered

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The lengths of two sides of a triangle are 4 feet and 7 feet. Which could NOT be the length of the third side?

The Lengths Of Two Sides Of A Triangle Are 4 Feet And 7 Feet Which Could NOT Be The Length Of The Third Side class=

Sagot :

To get the solution, we test using the triangle inequality theorem

The triangle inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

This means as soon as you know that the sum of 2 sides is less than (or equal to) the measure of a third side, then you know that the sides do not make up a triangle.

From the above theorem, the length of the third side that could not make a triangle is 13 feets because it does not follow the inequality theorem of a triangle.

4 + 7 < 13 and the sum must be greater than the third side.

Since the sum of 4 and 7 is less than 13, then 13 can not be the length of the third side.

Therefore, the answer is 13.

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