A triangle has two sides that measure 8.7 cm and 12.3 cm. Which could be the measure of the third side?

A. 2.6 cm
B. 3.6 cm
C. 15 cm
D. 21 cm

Question

A triangle has two sides that measure 8.7 cm and 12.3 cm. Which could be the measure of the third side?

	A.	2.6 cm
	B.	3.6 cm
	C.	15 cm
	D.	21 cm

anonymous · Answer

In a triangle,the sum of 2 sides is always greater than the third side.

directrix · Answer

One side of a triangle is smaller than the sum of the lengths of the other two but greater than the positive difference of the lengths of those sides.

In this case, the following holds:

(12.3 - 8.7) < 3rd side < (12.3 + 8.7)
         3.6    <   3rd side < 21

So, @darry_larkin13  which is the correct option?

anonymous · Answer

3.6

directrix · Answer

No.

directrix · Answer

3.6 does not make this inequality true:  3.6    <   3rd side < 21

3.6 < 3.6 is a false statement.

Try again.