Area of Triangles

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is calculated using the formula: Area = 1/2 × base × height.

Front

What do we mean by 'base' in a triangle?

Back

The 'base' of a triangle refers to any one of its sides, typically the one on which the triangle is considered to be standing.

Front

What is 'height' in the context of a triangle?

Back

The 'height' of a triangle is the perpendicular distance from the base to the opposite vertex.

Front

How do you find the area of a triangle with a base of 10 cm and a height of 5 cm?

Back

Area = 1/2 × base × height = 1/2 × 10 cm × 5 cm = 25 cm².

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

How does the area formula change for a right triangle?

Back

The area formula remains the same: Area = 1/2 × base × height, where the base and height are the two sides that form the right angle.

Front

What is the significance of the height in calculating the area of a triangle?

Back

The height is crucial because it determines how 'tall' the triangle is, which directly affects the area.

Front

Can the area of a triangle be calculated if only the lengths of the three sides are known?

Back

Yes, you can use Heron's formula to calculate the area if you know the lengths of all three sides.

Front

What is Heron's formula?

Back

Heron's formula states that the area of a triangle can be calculated using the formula: Area = √(s(s-a)(s-b)(s-c)), where s is the semi-perimeter (s = (a+b+c)/2) and a, b, c are the lengths of the sides.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides have different lengths.