In triangle LMN, the sides are l = 8, m = 15, n = 17. Find the height corresponding to side m.
Options
A
12
B
10
C
8
D
6
Answer & Analysis
Answer
C
Analysis
Question Analysis
Given triangle with sides , , , the goal is to find the height corresponding to side . This requires two steps: first, calculate the area using Heron’s formula, then use the area to determine .
Key Concept Explanation
1. Heron’s Formula: For a triangle with sides , , , the area , where (semi-perimeter).
2. Height from Area: The height corresponding to base is , derived from
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