Question

The two adjacent sides of a parallelogram are 60 m and 40 m and one of the diagonals is 80 m long.
What is the area of the parallelogram?
Give answer with proper solution...​

Answer 1

Step-by-step explanation:

a = 60 , b = 40cm and diagonal = 80 cm

perimeter of triangle = 60+40+80 = 180cm

semi perimeter = P/2 = 180/2 = 90

area of triangle =

$\sqrt{s(s - a)(s - b)(s - c)} \\ = \sqrt{90(90 - 60)(90 - 40)(90 - 80)} \\ = \sqrt{90 \times 30 \times 50 \times 10} \\ = \sqrt{1350000} \\ = 300 \sqrt{15} \\ = 1,161.895(approx)$

area of parallelogram = 2*1,161.895 = 2,323.79cm²