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Heron’s Formula

A rectangular plot is given for constructing a house, having a measurement of 40 m long and 15 m in the front. According to the laws, a minimum of 3 m, wide space should be left in the front and back each and 2 m wide space on each of other sides. Find the largest area where house can be constructed

06/11/2024

Mathematics

9th

Heron’s Formula

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.

06/11/2024

Mathematics

9th

Heron’s Formula

If each side of a triangle is doubled, then find the ratio of area of the new triangle thus formed and the given triangle.

06/11/2024

Mathematics

9th

Heron’s Formula

The sides of a quadrilateral ABCD are 6 cm, 8 cm, 12 cm and 14 cm (taken in order) respectively, and the angle between the first two sides is a
right angle. Find its area.

06/11/2024

Mathematics

9th

Heron’s Formula

The perimeter of a triangular field is 420 m and its sides are in the ratio 6 : 7 : 8. Find the area of the triangular field

06/11/2024

Mathematics

9th

Heron’s Formula

A field in the form of a parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long. Find the area of the parallelogram

06/11/2024

Mathematics

9th

Heron’s Formula

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

06/11/2024

Mathematics

9th

Heron’s Formula

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 14 cm, 10 cm and 6 cm. Find the area of the triangle

06/11/2024

Mathematics

9th

Heron’s Formula

Write True or False and justify your answer:

In a triangle, the sides are given as 11 cm, 12 cm and 13 cm. The length of the
altitude is 10.25 cm corresponding to the side having length 12 cm

06/11/2024

Mathematics

9th

Heron’s Formula

Write True or False and justify your answer:

The area of a regular hexagon of side ‘a’ is the sum of the areas of the five
equilateral triangles with side a.

06/11/2024

Mathematics

9th