SOLUTION: The adjascent sides of a paralellogram ABCD measures 34cm and 20cm and diagnal AC measures 42cm. Find area of paralellogram with diagram.

Question 986276: The adjascent sides of a paralellogram ABCD measures 34cm and 20cm and diagnal AC measures 42cm. Find area of paralellogram with diagram.
Answer by ikleyn(52810) (Show Source): You can put this solution on YOUR website!
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The area of the parallelogram is twice the area of the triangle with the side measures of 34 cm, 20 cm and 42 cm.

Use the Heron's formula for the area of a triangle (see the lesson Proof of the Heron's formula for the area of a triangle in this site).

The semi-perimeter of the triangle is = = = 48 cm.

Then the area of the triangle is = = 336 .

Hence, the area of the parallelogram is twice this value, i.e. 672 .

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