Question

The construction of a triangle ABC in which $AB=6cm,\angle A=45°$ is possible when $(BC+AC)$ is

• A. $7cm$
• B. $5.8cm$
• C. $5cm$
• D. $4.9cm$

Answer 1

The correct option is A

$7cm$

Explanation for the correct option: (a)

Step 1: Given data:

As per data given in the question,

We have,

$AB=6cm,\angle A=45°$

Step 2: Rules for constricting a triangle:

Since we know that the sum of two sides of a triangle is greater than the third side.

So,

$$\begin{gathered} AC+BC>AB \\ \Rightarrow AC+BC>6 \end{gathered}$$

Therefore (a) is correct option, as $7cm>6cm$