Triangle PQR has PQ as its base. PQ = 10 cm, the side PR = 8 cm, and the perpendicular distance from vertex R to the line PQ is 6 cm. Which measurement is the height of the triangle?
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Worked Solution
Step 1: Recall the definition of height in a triangle.
The height of a triangle is the perpendicular (90°) distance from a vertex to the opposite base (or its extension).
Step 2: Identify the perpendicular distance from vertex R to base PQ.
The perpendicular distance from R to PQ is given as 6 cm.
Step 3: PR = 8 cm is a slant side, not the height. PQ = 10 cm is the base.
Answer: The height is 6 cm.
Correct answer: 6 cm
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