Heron's Formula

Which statement about Heron's Formula is correct?

1. It requires only one side.
2. It requires the height of the triangle.
3. It finds the area of a triangle using only the lengths of its three sides.
4. It can only be used for right triangles.

Before applying Heron's Formula, the first quantity to calculate is

1. Height
2. Radius
3. Semi-perimeter
4. Angle

If all three sides of a triangle are equal, Heron's Formula

1. Cannot be used
2. Can be used successfully
3. Gives zero area
4. Applies only to right triangles

Which quantity is NOT directly used in Heron's Formula?

1. Side a
2. Side b
3. Height
4. Semi-perimeter

The area obtained using Heron's Formula is measured in

1. cm
2. cm²
3. cm³
4. Degrees

If the perimeter of a triangle is 36 cm, its semi-perimeter is

1. 9 cm
2. 12 cm
3. 18 cm
4. 36 cm

Which of the following triangles can be solved using Heron's Formula?

1. Only right triangles
2. Only equilateral triangles
3. Any triangle whose three sides are known
4. Only isosceles triangles

The semi-perimeter of the triangle in Question 7 is

1. 10 cm
2. 11 cm
3. 12 cm
4. 24 cm

The perimeter of a triangle with sides 7 cm, 8 cm, and 9 cm is

1. 12 cm
2. 18 cm
3. 24 cm
4. 30 cm

Heron's Formula can be applied only when

1. The height is known.
2. The base is known.
3. All three sides are known.
4. One angle is 90°.

If the sides of a triangle are 5 cm, 12 cm, and 13 cm, its area is

1. 20 cm²
2. 30 cm²
3. 40 cm²
4. 60 cm²

Heron's Formula is

1. √[s(s − a)(s − b)(s − c)]
2. ½ × base × height
3. πr²
4. l × b

The sides of a triangle are 3 cm, 4 cm, and 5 cm. Its semi-perimeter is

1. 5 cm
2. 6 cm
3. 7 cm
4. 12 cm

The semi-perimeter of a triangle with sides a, b, and c is

1. a + b + c
2. (a + b + c)/2
3. ab + bc + ca
4. (a × b × c)/2

Heron's Formula is primarily used to find the

1. Perimeter of a triangle
2. Area of a triangle using its three sides
3. Volume of a solid
4. Circumference of a circle