If the Lengths of Three Sides of a Triangle Are

question 48

Multiple Choice

If the lengths of three sides of a triangle are known, then the following formula, known as Hero's (or Heron's) formula is sometimes used: ​ ​where a, b, and c are the given lengths of the sides, and . Use this formula to find the area of a triangle with the lengths given below (correct to the nearest square foot) .
​ ft, ft, and ft
​

• A) 41 ft²
• B) 3 ft²
• C) 6 ft²
• D) 13 ft²
• E) 14 ft²

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Definitions:

Midsagittal

Relating to the median plane or a section that divides the body into equal left and right halves.

Serous Membrane

A thin membrane lining certain internal cavities of the body, secreting serous fluid to lubricate the surfaces.

Visceral Layer

The inner layer of a two-part serous membrane that covers internal organs.

Pleura

A double-layered membrane surrounding the lungs and lining the chest cavity, facilitating lung movement and serving as a protective layer.