Question

The sides of a parallelogram are 12 cm and 17 cm. If one of the diagonals is 25 m. Find the area of the parallelogram.​

Answer 1

Answer:

Kindly refer to the attachments given below.

Answer 2

Step-by-step explanation:

Answer

Area of triangle =

s(s−a)(s−b)(s−c)

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

Sides are 17cm,12cm,25cm

Semi perimeter(s)=

2

12+17+25

=

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

2

.

Let the height of the parallelogram be h

Given base b=12cm

A=b×h

⇒180=12×h

⇒

12

180

=h

∴h=15cm

∴ Length of altitude =h=15cm.