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Q 01 / 25
Heron's formula is used to find the area of a triangle when all its sides are known.
Q 02 / 25
Semi-perimeter is half the perimeter of a triangle.
Q 03 / 25
Heron's formula works only for right-angled triangles.
Q 04 / 25
The formula for area using Heron's formula is \(A = \sqrt{s(s-a)(s-b)(s-c)}\).
Q 05 / 25
If the length of one side is equal to or greater than the sum of the other two, a triangle is always possible.
Q 06 / 25
The perimeter of a triangle is the sum of the lengths of all its sides.
Q 07 / 25
If sides are 3 cm, 4 cm, 5 cm, then the perimeter is 12 cm.
Q 08 / 25
To use Heron's formula, you must always know the height of the triangle.
Q 09 / 25
The semi-perimeter of a triangle with sides 6 cm, 8 cm, 10 cm is 12 cm.
Q 10 / 25
Heron's formula cannot be applied to an equilateral triangle.
Q 11 / 25
All triangles with integer sides can have integral area.
Q 12 / 25
Heron's formula is applicable only if we know at least two sides and the included angle.
Q 13 / 25
If a triangle has sides 7 cm, 10 cm, and 12 cm, the semi-perimeter is 14.5 cm.
Q 14 / 25
The largest side of a triangle is always opposite the largest angle.
Q 15 / 25
Heron’s formula uses square roots in its calculation.
Q 16 / 25
If the triangle is degenerate (all points on a straight line), Heron's formula gives zero area.
Q 17 / 25
If a = b = c, the triangle is always equilateral.
Q 18 / 25
Heron's formula can be derived from the law of cosines.
Q 19 / 25
The sum of any two sides of a triangle is always greater than the third side.
Q 20 / 25
To use Heron's formula, side lengths must be positive real numbers.
Q 21 / 25
If the area calculated using Heron’s formula is imaginary, the triangle does not exist.
Q 22 / 25
A triangle can be constructed with sides 1 cm, 2 cm, and 3 cm.
Q 23 / 25
Heron's formula can also be used to find the area of a quadrilateral.
Q 24 / 25
Area of triangle increases as the perimeter increases, for given side ratios.
Q 25 / 25
The practical use of Heron's formula is in finding areas of plots with triangular shapes.
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