2024 · Q19
In a triangle ABC, ∠ABC = 60° and AD is the altitude. If AB = 6 cm and BC = 8 cm, then what is the area of the triangle?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A12 square cm
- B12√3 square cm
- C24 square cm
- D24√3 square cm
Explanation
Area = ½·AB·BC·sin(∠ABC) = ½×6×8×sin60° = 24×(√3/2) = 12√3 sq cm. (AD being the altitude is extra information.) This is option B.