MathematicsFreePrintable
Triangle Area Exploration
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Triangle Area Exploration
📚 Part 1: Quick Checks (Multiple Choice)
1. Which expression gives the area of a right triangle with base b and height h?
1/2 × b × h
b × h
1/3 × b × h
(b + h) / 2
2. A rectangle measures 8 in by 5 in and is split along a diagonal into two right triangles. What is the area of one triangle?
40 in²
20 in²
13 in²
8 in²
3. Which best describes the height (altitude) used in the triangle area formula?
A line from the opposite vertex perpendicular to the base
A slanted side of the triangle
The longest side of the triangle
A line along the base
4. Check all that apply:
Two congruent right triangles form a rectangle
Area = base + height
If the base doubles and height stays the same, area doubles
The height must be perpendicular to the base
✏️ Part 2: Short Answers & Practice
5. In your own words, explain why the area of a right triangle is half the area of a rectangle with the same base and height.
6. Show your work: Find the area of a right triangle with base = 6 ft and height = 3 ft. Answer: ________ ft²
7. A right triangle has area 24 ft² and height 4 ft. Find the base. Explain your steps.
8. Hands-on drawing: Cut two identical right triangles and arrange them to form a rectangle. Draw the rectangle below, label the base (b) and height (h), and write the area of the rectangle and the area of one triangle.
Rectangle area = ________ Triangle area = ________
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