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 is 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 triangle's height?

Back

The height is crucial for calculating the area, as it determines how 'tall' the triangle is from the base.

Front

Can the base of a triangle be any side?

Back

Yes, any side of the triangle can be considered the base, but the corresponding height must be measured perpendicular to that base.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal (each measuring 60 degrees).

Front

How do you calculate the area of an equilateral triangle with a side length of 6 cm?

Back

Area = (√3/4) × side² = (√3/4) × (6 cm)² = 9√3 cm².