Question

Ulani is constructing a triangle that has sides measuring 12 cm and 28 cm. Which measurements could be the length of the third side? Select two options

Answer 1

The sides can be 38 and 24.

Explanation:

Consider the provided information.

The given options are: a) 15, b) 24, c)38, d)41, E)53

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.

Here a=12 and b=28 we need to find c

The sum of 12 and 28 is 40.

So, It means the side can not be 41 and 53 as it is greater than 40.

Now let the third side is 15.

Then the sides are 12, 28 and 15

The sum of two smaller sides: 12+15=27

But 27 is less than 28.

So the side can't be 15.

Now let the third side is 24.

Then the sides are 12, 28 and 24

The sum of two smaller sides: 12+24=36

But 36 is greater than 28.

So the side can be 24.

Now let the third side is 38.

Then the sides are 12, 28 and 38

The sum of two smaller sides: 12+28=40

But 40 is greater than 38.

So the side can be 38.

Hence, the sides can be 38 and 24.