Question

∆ABC has AB = 4 and BC = 7, then _________.

(A) AC <7 (B) AC> 4 (C) 4 <AC <7 (D) 3 <AC <11​

Answer 1

Answer:

answers D is right answer

Answer 2

Given

ABC is a triangle

AB = 4

BC = 7

To find,

The measurement of AC will be between which two numbers

Solution,

According to the interior side of a triangle theorem, the Sum of any two sides of a triangle is greater than the third side and the difference between any two sides is lesser than the third side.

So, taking from the question

AB + BC > AC and BC - AB < AC

AB + BC = 7 + 4

= 11cm

and

BC - AB = 7 - 4

= 3cm

So, the measurement of AC will be between 3 and 11 cm

Thus, the final answer is (D) 3 <AC <11​