Given $a = 5 , b = 9$ , And $c = 12$

question 30

Multiple Choice

Given $a = 5 , b = 9$ , and $c = 12$ , use Heron's Area Formula to find the area of triangle $A B C$ . Round answer to two decimal places.

• A) \(20.40\) sq. units
• B) \(16.97\) sq. units
• C) \(19.60\) sq. units
• D) \(12.65\) sq. units
• E) \(17.40\) sq. units

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Definitions:

3-nitrophthalic Acid

An aromatic dicarboxylic acid compound with a nitro group substituted at the 3-position on the benzene ring.

Pentanedioic Acid

An organic compound also known as glutaric acid, with the formula C5H8O4, characterized by two carboxylic acid groups at each end of a five-carbon chain.

Trans-1,3-cyclohexanedicarboxylic Acid

A type of dicarboxylic acid where the carboxyl groups are located on the first and third carbon atoms of a cyclohexane ring, in a trans configuration.

Carboxylic Acids

Organic compounds containing a carboxyl group (COOH), known for being acidic and reactive in condensation reactions.