Question

The measures of adjacent sides of a field, in the form of a parallelogram 12.5 m and 8.5 m. If one diagonal is of length 6 m, find the area of the field​

Answer 1

Answer:

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)=

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

.

h=?; b=12cm

A=b×h

⇒180=12×h

⇒

12

180

=h

∴h=20cm

∴ Length of altitude =h=20cm.