Michigan State University - Diagnostic Exam

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6.19

  •   The area of a triangle with sides of length 2, 3, and 4 is closest to which of the following?

    a) 4.5 b) 1.5 c) 9 d) 24 e) 3.1

Solution:

Let s=2-+--3 +-4 2 . Then by Heron’s formula the area is

∘ ---------------------- ∘ ----------------------------- s(s - 2)(s - 3)(s - 4) = 4.5(4.5 - 2)(4.5 - 3)(4.5 - 4) ≈ 2.90

Diagnostic:

If you miss this question please review Heron’s Formula.

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July 15, 2008