Question

An isosceles triangle has a base 9.2 units long. If the congruent side lengths have measures to the first decimal place, what is the shortest possible length of the sides?

Answer 1

Question:

An isosceles triangle has a base of 9.6 units long. If the congruent side lengths have measures to the first decimal place, what is the possible length of the sides? 9.7, 4.9, or 4.7

Answer:

4.9 is the shortest possible length of the sides.

Explanation:

Given:

The base of the triangle base = 9.2 units

To Find:

The shortest possible length of the sides = ?

Solution:

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.

So According to the theorem

`x+x > 9.6`

`2x > 9.6`

`x > (9.6)/(2)`

`x > 4.8`

In the given option 4.9 is the shortest length greater than 4.8 that can be possible.