CLASS-9 - MATHS
WINTER VACATION HOMEWORK / Ch- HERON’S
FORMULA
Q.1) A field is in the form of
parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long. Find
the area of parallelogram using hero’s formula.
Q.2) The perimeter of a triangle
field is 420 m and sides are in ratio 6: 7: 8. Find the area of triangular field
using hero’s formula.
Q.3) The perimeter of a triangle
is 50 cm. one side of a triangle is 4 cm longer than the smaller side and the
third side is 6 cm less than twice the smaller side. Find the area of
triangular field using hero’s formula.
Q.4) A rhombus shaped sheet with
perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of
Rs.5 per m2. Find the cost of painting. (use heron’s formula to
calculate area)
Q.5) A design is made on a
rectangular tile of dimensions 50 cm X 70 cm as shown in below figure. The design
shows 8 triangles, each of side 26 cm, 17 cm and 25 cm. Find the total area of
design and the remaining area of tile.
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