MathematicsFreePrintable
Right Triangle Area Exploration
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Right Triangle Area Exploration
📚 Part 1: Multiple Choice
1. Which expression gives the area of a right triangle with base b and height h?
b × h
1/2 × b × h
b + h
2 × b × h
2. A rectangle has base 8 units and height 5 units. If the rectangle is split along a diagonal, what is the area of one right triangle formed?
20 square units
40 square units
10 square units
13 square units
3. If the base of a right triangle doubles while the height stays the same, how does the triangle's area change?
It halves
It doubles
It quadruples
It stays the same
4. Check all statements that are true about right triangles and rectangles:
Two congruent right triangles can form a rectangle.
Area of a right triangle = 1/2 × base × height.
Area of a right triangle = base × height.
A rectangle divided by a diagonal makes two congruent right triangles.
✏️ Part 2: Short Answers & Practice
5. In one sentence, explain why the area formula for a right triangle is 1/2 × base × height.
6. Calculate the area. Show your work in the box below.
Right triangle with base = 6 units and height = 4 units.
Right triangle with base = 6 units and height = 4 units.
7. Word problem: A triangular garden (right triangle) has a base of 7 inches and a height of 3 inches. What is the garden's area? Show calculations.
8. Draw and label: On the graph below, sketch a rectangle with base = 10 units and height = 4 units. Draw the diagonal to show how it makes two right triangles. Label one triangle's base, height, and write its area.
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