Question

Two sides of a triangle are 5 and 55 cm. Complete the inequality to show the possible lengths of the third side. If the third side of the triangle is x then...

Answer 1

The third side of the triangle falls between (50, 60).

How to find the third side of a triangle?

Inequality triangle theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.

Therefore, the other two sides are 5 cm and 55 cm. The range of the third side x can be computed using inequality triangle theorem.

Hence,

x < 5 + 55

x < 60

And,

x > 55 - 5

x > 50

Therefore, 50 < x < 60.

Hence, the third side of the triangle falls between (50, 60).

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