AP ICET 2016 Paper

I. Given : AB = 8 cm, AC = 5 cm
It is not possible to determine BC. We need one more information like ∠BAC or area ΔABC or perimeter of the triangle.
∴ I alone is not sufficient.
II. Given : Area of ΔABC = 10 cm2
II alone is not sufficient.
I & II.
Using Heron’s formula, area of the triangle is given by
√s(s−a)(s−b)(s−c) where s=

a+b+c

2

We have ‘b’ and ‘c’ from statement I and area from statement II.
Hence, ‘a’ i.e., BC can be determined using this relation.
∴ I & II together are sufficient.