Geometry and TrigonometryEasy–MediumArea of a triangle on a grid
Geometry and Trigonometry practice question
In the xy-plane, a triangle has vertices at (0, 0), (6, 0) and (2, 5). What is the area of the triangle?
Answer: 15
The side from (0, 0) to (6, 0) is a base of length 6 along the x-axis, and the third vertex is 5 units above it. Area = (1/2)(6)(5) = 15.
Common wrong answers
- If you answered 10
- 10 uses 2 (the x-coordinate of the top vertex) as a side; the base is 6 and the height is 5.
- If you answered 30
- 30 is 6 × 5 without the 1/2.
- If you answered 12.5
- 12.5 is (1/2)(5)(5), using the height for the base too.
More Geometry and Trigonometry questions
- Easy–Medium
A circle has a radius of 6. What is its area? (Use A = πr².) - Easy–Medium
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse? - Easy–Medium
A circle has a radius of 5. What is its circumference? (Use C = 2πr.) - Easy–Medium
What is the midpoint of the segment joining the points (2, 3) and (8, 11)? - Easy–Medium
What is the measure, in degrees, of angle B? - Easy–Medium
What is the area, in square centimeters, of the trapezoid?
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