Geometry and TrigonometryVery hardLength from a midsegment
Geometry and Trigonometry practice question
In triangle ABC, points M and N are the midpoints of sides AB and AC. Segment MN has length 6, and the perimeter of triangle AMN is 16. What is the perimeter of triangle ABC?
Answer: 32
Triangle AMN is similar to ABC with ratio 1 : 2, so ABC's perimeter is 2 × 16 = 32.
Common wrong answers
- If you answered 16
- 16 is the perimeter of AMN.
- If you answered 22
- 22 adds 6 to 16.
- If you answered 28
- 28 doubles only the two sides, not MN.
More Geometry and Trigonometry questions
- Very hard
Two parallel lines are cut by a transversal. One of the eight angles measures 47°. Which of the following is N… - Very hard
In a right triangle, angles A and B are the two acute angles, so A + B = 90°. If sin A = 0.6, what is the valu… - Very hard
A regular hexagon has a side length of 4. What is its area? (A regular hexagon of side s has area (3√3/2)s².) - Very hard
A cone has a radius of 6 and a height of 10. What is its volume? (Use V = (1/3)πr²h.) - Very hard
In the xy-plane, the graph of x² + y² − 12x − 4y + 15 = 0 is a circle. The line 3x − 4y = 25 intersects this c… - Very hard
What is the perimeter of triangle ABC?
Not affiliated with the College Board. SAT is a trademark of the College Board.