The adjacent sides of a parallelogram `A B C D` measure `34` cm and`20` cm , and the diagonal `A C` measures `42` cm Find the area of the parallelogram.

Explanation

To find the area of the parallelogram \( ABCD \) with adjacent sides measuring \( 34 \) cm and \( 20 \) cm, and diagonal \( AC \) measuring \( 42 \) cm, we can use Heron's formula. Here’s the step-by-step solution:

### Step 1: Identify the sides of the triangles
The diagonal \( AC \) divides the parallelogram into two triangles, \( \triangle ABC \) and \( \triangle ADC \). The sides of triangle \( ABC \) are:
- \( AB = 34 \) cm
- \( BC = 20 \) cm
- \( AC = 42 \) cm

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