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Worksheets

Triangle Area and Height Problems

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

What is the formula for the area of a triangle?

a)

Area = 1/2 * base * height

b)

Area = base + height

c)

Area = base * height

d)

Area = 2 * base * height

2.

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

a)

12 cm

b)

14 cm

c)

8 cm

d)

10 cm

3.

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

a)

height = Area * base

b)

height = (2 * Area) / base

c)

height = Area / base

d)

height = (Area + base) / 2

4.

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

a)

The area of the triangle remains the same.

b)

The area of the triangle triples.

c)

The area of the triangle decreases by half.

d)

The area of the triangle doubles.

5.

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

a)

20 cm²

b)

25 cm²

c)

15 cm²

d)

30 cm²

6.

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

a)

12 cm

b)

8 cm

c)

6 cm

d)

10 cm

7.

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

a)

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

b)

No, the area of a triangle cannot be negative.

c)

Yes, it can be negative in certain calculations.

d)

Yes, if the triangle is inverted.

8.

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

a)

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

b)

Linear units (e.g., meters, feet)

c)

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

d)

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

9.

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

a)

The area remains unchanged.

b)

The area increases by height cm².

c)

The area increases by 4 cm².

d)

The area decreases by height cm².

10.

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

a)

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

b)

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

c)

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

d)

The height of a triangle is irrelevant to its area.