Triangle Area and Height Problems

What is the formula for the area of a triangle?

• Area = 1/2 * base * height

• Area = base + height

• Area = base * height

• Area = 2 * base * height

If the area of a triangle is 36 cm² and the base is 6 cm, what is the height?

• 12 cm

• 14 cm

• 8 cm

• 10 cm

How do you calculate the height of a triangle given the area and base?

• height = Area * base

• height = (2 * Area) / base

• height = Area / base

• height = (Area + base) / 2

If the height of a triangle is doubled, how does the area change?

• The area of the triangle remains the same.

• The area of the triangle triples.

• The area of the triangle decreases by half.

• The area of the triangle doubles.

What is the area of a triangle with a base of 10 cm and a height of 5 cm?

• 20 cm²

• 25 cm²

• 15 cm²

• 30 cm²

If a triangle has a height of 12 cm and an area of 48 cm², what is the base?

• 12 cm

• 8 cm

• 6 cm

• 10 cm

Can the area of a triangle be negative? Why or why not?

• No, but it can be zero if the triangle collapses.

• No, the area of a triangle cannot be negative.

• Yes, it can be negative in certain calculations.

• Yes, if the triangle is inverted.

What units are used for measuring the area of a triangle?

• Square units (e.g., square meters, square feet)

• Linear units (e.g., meters, feet)

• Volume units (e.g., cubic meters, cubic feet)

• Weight units (e.g., kilograms, pounds)

If the base of a triangle is increased by 2 cm, how does that affect the area if the height remains the same?

• The area remains unchanged.

• The area increases by height cm².

• The area increases by 4 cm².

• The area decreases by height cm².

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

• The area is determined by the sum of the base and height.

• The area of a triangle is determined by the product of its base and height.

• The area of a triangle is calculated using only the base.

• The height of a triangle is irrelevant to its area.