Triangle ABC has its base BC along a horizontal line. BC = 10 cm. The slant side AB measures 8 cm. The perpendicular distance from vertex A straight down to line BC is 6 cm. What is the area of triangle ABC?
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Worked Solution
Step 1: Identify the base.
Base = BC = 10 cm (the horizontal edge of the triangle).
Step 2: Identify the perpendicular height.
The perpendicular height is the distance from vertex A measured at 90° to the base BC.
Height = 6 cm (given directly).
The slant side AB = 8 cm is NOT the height.
Step 3: Apply the area formula.
Area = ½ × base × height
= ½ × 10 × 6
= 30 cm²
Answer: 30 cm²
Correct answer: 30 cm²
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