Area of Triangles

What is the base of a triangle?

• The longest side of the triangle.

• The side opposite the vertex angle.

• One side of the triangle, often the side on which the triangle stands.

• The height of the triangle.

What is the significance of the height in a triangle?

• It determines the triangle's color.

• It affects the triangle's area by determining how 'tall' it is.

• It indicates the triangle's angles.

• It is used to calculate the triangle's perimeter.

What is the area of a triangle with a base of 8 cm and a height of 3 cm?

• 10 cm²

• 12 cm²

• 14 cm²

• 16 cm²

What is the area of a triangle with a base of 12 m and a height of 4 m?

• 20 m²

• 22 m²

• 24 m²

• 26 m²

What units are used to measure the area of a triangle?

• Square units (e.g., m², cm², ft²)

• Linear units (e.g., m, cm, ft)

• Cubic units (e.g., m³, cm³, ft³)

• Percentage units (e.g., % of area)

What is the relationship between the base and height in calculating the area of a triangle?

• The area is directly proportional to both the base and height.

• The area is inversely proportional to the base and height.

• The area is equal to the base plus the height.

• The area is independent of the base and height.

What is a right triangle?

• A triangle with all angles measuring less than 90 degrees.

• A triangle that has one angle measuring 90 degrees.

• A triangle with two equal sides and one angle measuring 60 degrees.

• A triangle that has no equal sides.

How do you find the height of a triangle if you know the area and base?

• Height = (Area × 2) / base.

• Height = Area / base.

• Height = base / Area.

• Height = (Area × base) / 2.

If a triangle has an area of 20 ft² and a base of 5 ft, what is the height?

• 6 ft

• 7 ft

• 8 ft

• 9 ft

Can a triangle have an area of zero?

• Yes, if the height is zero or if the base and height are not perpendicular.

• No, a triangle always has a positive area.

• Yes, only if it is a right triangle.

• No, a triangle cannot have an area of zero.