Question

In Triangle ABC, AC = BC and mC = 62°. The longest side of the triangle is:

Answer 1

Im pretty sure by process of elimination the longest side would be BC.

Answer 2

The longest side of the given triangle ABC is AB.

Explanation:

Given: In Triangle ABC, AC = BC and ∠C = 62°

To find: The longest side of the triangle ABC.

Solution: It is given that In Triangle ABC, AC = BC and ∠C = 62°,

Now, If AC=BC, then the triangle will be an isosceles triangle. Then whether AB going to be longer or shorter than AC.

If ∠C had been 60°, then it would be an equilateral triangle and all sides would have been equal. But, since ∠C > 60, the side opposite C must be the greatest.

A smaller angle would mean that AB is shorter than AC.

In this case the angle given is greater than 60 degrees, therefore AB must be longer then AC.

Hence, the longest side of the given triangle ABC is AB.