Heron’s Formula Class 9 Worksheet
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Heron’s Formula Class 9 Worksheet
1. Find the length of each side of an equilateral triangle having an
area of 9√3 𝑐𝑚2.
2. Find the area of an isosceles triangle having base 2 cm and the
length of one of the equal sides 4 cm.
3. How many times area is changed, when sides of
a triangle are doubled.
4. If the perimeter of an isosceles triangle is 11 cm and its base
is 5 cm, its area is 5√11𝑐𝑚2.
State true or false and give reason.
5. If the area of an equilateral triangle is 16√3 𝑐𝑚2,
then find the perimeter of the triangle.
6. The cost of levelling a ground in the form of a triangle having
the sides 51 m, 37 m and 20 m at the rate of Rs 3 per 𝑚2
is Rs 918. State whether the statement is true or false and justify your
answer.
7. The perimeter of an isosceles triangle is 32 cm. The ratio of the
equal side to its base is 3 : 2. Find the area of the triangle.
8. The lengths of the sides of a triangle are 7
cm, 13 cm and 12 cm. Find the length of perpendicular from the opposite vertex
to the side whose length is 12 cm.
9. 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 the triangle.
10. The area of a trapezium is 475 𝑐𝑚2
and the height is 19 cm. Find the lengths of its parallel sides if one side is
4 cm greater than the other.
11. If each side of a triangle is doubled, then find the ratio of
area of new triangle thus formed and the given triangle.
ANSWERS
1. a = 6 cm
2. √15 𝑐𝑚2
3. Four times
4. True
5. 24 cm
6. True
7. 32√2 𝑐𝑚2
8. 4√3 𝑐𝑚
9. 109.6 𝑐𝑚2
10. 23 cm, 27 cm
11. 4 : 1
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