The adjacent sides of the parallelogram are 12m and 17m respectively. If one of the diagonal is 25m long.Find the area of the parallelogram. *
Answers
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)= 212+17+25 = 254
=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
⇒ h=12÷180
•°•h=20cm
∴ Length of altitude =h=20cm.
Step-by-step explanation:
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.