Given a triangle with side lengths a = 7, b = 9, c = 12, find its area.
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
Question Analysis
Given the side lengths , , of a triangle, since all three side lengths are known, the task is to apply Heron's formula to calculate its area.
Key Concept Explanation
Heron's Formula: The area of a triangle with side lengths , , is calculated by , where is the semi-perimeter. This formula is used when the lengths of all sides of a triangle are given.
Step - by - Step Solution
1. Calculate the semi - perimeter :
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