Given a triangle with side lengths a = 4, b = 13, c = 15, find its area.
Options
A
16
B
24
C
28
D
30
Answer & Analysis
Answer
B
Analysis
Question Analysis
Given the side lengths , , of a triangle, we need to find its area. Since all side lengths are known, Heron's formula is the appropriate method.
Key Concept Explanation
Heron's Formula: The area of a triangle with side lengths , , is , where (semi - perimeter). This formula enables us to calculate the area when the lengths of all three sides are provided.
Step - by - Step Solution
1. Calculate the semi - perimeter :
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