In a triangle ABC, E is the mid point of side AB. AC=12cm & CE=6.5cm. The triangle is right angled at C. Find the area of the triangle.

Explain this question thoroughly and step by step.

Given that: ABC is a right angle triangle

To find: The area of triangle ABC

Let AB = x cm. since E is the midpoint on AB, so, AE = EB = x/2 cm

In,

Now, In,

So,

Hence, the area of triangle is 97.302 cm².