Applying the Heron's formula, the area of the parallelogram = 36.7 square units.
Heron's Formula = √[s(s - a)(s - b)(s - c)], where:
A diagonal of a parallelogram cuts a parallelogram into two equal triangles.
Thus, we have two equal triangles in the parallelogram given.
Area of the parallelogram = 2(area of triangle)
Find the area of one triangle using the Heron's formula:
a = 5
b = 8
c = 11
s = (5 + 8 + 11)/2 = 12
Area of one triangle = √[12(12 - 5)(12 - 8)(12 - 11)]
= √[12(7)(4)(1)]
= √336
= 18.33 sq. units.
Therefore, area of the parallelogram = 2(18.33) = 36.7 square units.
Learn more about the Heron's formula on:
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