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20 January, 20:11

How many unique triangles can be drawn with the set of three measurements shown below?

132 angle

3 inch side length

3 inch side length

A. no triangles

B. exactly one triangles

C. exactly two triangles

D. more than two triangles

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Answers (1)
  1. 20 January, 20:18
    0
    A. no triangles.

    Step-by-step explanation:

    The third side of length x can be found by the Cosine rule:

    x^2 = 3^2 + 3^2 - 2*3*3 cos 132

    x^2 = 30.044

    x = 5.45 inches.

    Since 5.45 inches is less than 3 + 3 (the sum of the 2 given sides) then a triangle cannot be drawn.
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