Geometry and TrigonometryEasy–MediumHeight of a triangle from its area
Geometry and Trigonometry practice question
A triangle has an area of 30 square centimetres and a base of 12 centimetres. What is the height of the triangle, in centimetres?
Answer: 5
Area = (1/2) × base × height, so 30 = (1/2)(12)h = 6h and h = 5.
Common wrong answers
- If you answered 18
- 18 is 30 − 12, subtracting instead of using the formula.
- If you answered 60
- 60 is 2 × 30, one step short; divide by the base.
- If you answered 2.5
- 2.5 is 30/12, forgetting the 1/2 in the area formula.
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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