Question

Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.

What is the greatest possible whole-number length of the unknown side?
2 inches
3 inches
7 inches
9 inches

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

The greatest possible whole-number length of the unknown side among the option is 9 inches.

Obtuse triangle

Obtuse triangle is a triangle that has one of it internal angle greater than 90 degrees.

Triangle inequality theorem:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

If the sides of the triangles are x, y and z. Therefore,

x + y > z

x + z > y

y + z > x

Therefore, the greatest possible length among the option is 9.

Proof

12 + 14 > 9

12 + 9 > 14

14 + 9 > 12

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