Question

Two sides of a triangle are of length 5 cm and 1.5 cm. The length of the third side of the triangle cannot ​

Answer 1

Hello bro,

Your answer with step by step explanation is mentioned below.

Step-by-step explanation:

So first we will recall inequality property of triangles.

There are two in in equality

(i) The sum of two sides must be greater than the third side of a triangle.

(ii) The difference of two sides must be smaller than the third side of a triangle.

Let the third side be x

So, using first property,

Sum of two given sides i.e. (5+1.5), must be greater than the third side i.e. x.

Hence,

$5 + 1.5 > x$

$= x < 5 + 1.5$

$= x < 6.5$

Now using second property,

Difference of two given sides i.e. (5-1.5), must be smaller than x.

Hence,

$5 - 1.5 < x$

$= x > 5 - 1.5$

$= x > 3.5$

Hence,

$3.5 < x < 6.5$

Therefore, the conclusion that we get is value of the third side must lie between 3.5 & 6.5.

Hope it helps,

And,

Don't forget to follow me and choose this answer as the brainliest one.