Question

The length of two sides of a triangle are 7 cm and 9 cm. The length of the third side may lie between ______.

Options

• 1 cm and 10 cm

• 2 cm and 8 cm

• 3 cm and 16 cm

• 1 cm and 16 cm

Answer 1

The length of two sides of a triangle are 7 cm and 9 cm. The length of the third side may lie between 3 cm and 16 cm.

Explanation:

From the question, it is given that, the length of two sides of a triangle is 7 cm and 9 cm.

Let us assume the length of the third side of the triangle is ‘P’.

We know that, the sum of the two sides of the triangle is greater than the third side.

So, 7 + 9 > P

16 > P

Now, difference between two sides = 9 – 7 = 2

Therefore, the third side is greater than 2 and smaller than 16.

i.e. 3 cm and 16 cm