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
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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.
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