Question

Find the area of a parallelogram,if the sides of a field in the shape of parallelogram are 12m and 17m and of the diagonal is 25m?

Answer 1

Step-by-step explanation:

Area of triangle = √s(s−a)(s−b)(s−c)

Area of parallelogram=2× Area of triangle formed by the adjacent sides and the diagonal

Sides are 17cm,12cm,25cm

Semi perimeter(s)= 12+17+25/2

= 2*54 =27cm

Area = √27(27−12)(27−17)(27−25)

⇒A= 27⋅15⋅10⋅2

⇒A= 3×3×3×3×5×2×5×2

⇒A=3×3×5×2

⇒A=90cm× 2

∴ Area of parallelogram =2(90)=180cm