MathematicsFreePrintable
Triangle Area Exploration
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Triangle Area Exploration
Use the triangle area formula A = ½ × base × height. Show your calculations and include square units in area answers.
Choose and Check
1.Which expression finds the area of a triangle with base 9 cm and perpendicular height 4 cm?
- 9 × 4
- ½ × 9 × 4
- 9 + 4
- ½ × (9 + 4)
2.A right triangle has legs measuring 12 inches and 7 inches. What is its area?
- 19 in²
- 42 in²
- 84 in²
- 38 in²
3.Carlos is making a triangular kite panel with a base of 16 inches and a perpendicular height of 11 inches. What is the panel's area?
- 176 in²
- 88 in²
- 27 in²
- 44 in²
4.Select every statement that is true about triangle area.
- The height meets the chosen base at a right angle.
- Area is measured in square units.
- Doubling the base while keeping the height unchanged doubles the area.
- The height is always one of the triangle's sloping sides.
5.True or false: A triangle with base 10 feet and height 6 feet has an area of 60 square feet.
TrueFalse
Calculate and Explain
6.A triangular banner has a base of 14 feet and a perpendicular height of 5 feet. Find its area. Show your calculation.
7.A triangle has an area of 54 square centimeters and a base of 12 centimeters. What is its perpendicular height? Show how you know.
8.Match each triangle's base and height to its area.
- Base 8 cm, height 3 cm
- Base 10 cm, height 3 cm
- Base 6 cm, height 5 cm
- Base 12 cm, height 4 cm
- 24 cm²
- 12 cm²
- 15 cm²
- 15 cm²
9.A rectangle is 10 inches long and 6 inches wide. A diagonal divides it into two equal right triangles. Find the area of one triangle, and explain why it is half the rectangle's area.
10.Draw two identical right triangles and arrange them to make a rectangle. Label the rectangle's length b and width h. Write the area of the rectangle and the area of one triangle.
2 printable pages
Page 1
Page 2
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