Find the Smallest Possible Area of an Isosceles Triangle That $r = 4$

question 84

Multiple Choice

Find the smallest possible area of an isosceles triangle that is circumscribed about a circle of radius $r = 4$ .

• A) \(4 \pi \sqrt { 3 }\)
• B) \(4 \sqrt { 3 }\)
• C) \(48 \sqrt { 3 }\)
• D) \(\sqrt { 3 }\)
• E) \(\sqrt { 48 } r ^ { 2 }\)

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Definitions:

Isotonic

Referring to a solution that has the same salt concentration as the cells and blood of the body, or to muscle contractions where muscle length changes under a constant load.

Muscle Fibers

Muscle fibers are the individual contractile units within skeletal muscle, consisting of myofibrils that enable muscles to contract and generate movement.

Concentric Contraction

Muscle contraction where muscle fibers shorten while generating force, typically occurring when a muscle is actively producing movement.

Muscle Tension

Describes the state of partial contraction in a muscle, even when it is not actively being used, helping to maintain posture and readiness for action.