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In triangle ABC, angle A is 120^@, BC + ...

In `triangle ABC`, angle A is `120^@`, BC + CA = 20 and AB + BC=21, then (A) `AB gt AC` (B) `AB lt AC` (C) triangle ABC is isosceles (D) area of `triangle ABC` is `14 sqrt(3)`

Text Solution

Verified by Experts

We can draw the figure by given details. Please refer to the figure shown in video.
As per the details given,
`a+b = 20` and `c+a = 21`
Subtracting these two, we get,
`c-b = 1` that means `AB>AC`
Thus, option `A` is correct and option `B` is incorrect.
Also, as AB and AC are not equal, `/_B` and `/_C` are not equal and both of them can`'`t be equal to `/_A` that means triangle is not an isosceles triangle.
So, option `C` is also incorrect.
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