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Pre-Calculus follow up question Reiny

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Determine the number of triangles that can be formed with the given information.
and if it forms two possible triangles solve all unknown angles and sides

Angle A=116 degrees
a=10
b=11

but if you add 81.4 (measure of angle B) plus 116 (measure of angle A) you get 197.368 which is over 180 degrees....
so that would make measure of angle C negative which is why I'm confused

  • Pre-Calculus follow up question Reiny -

    I think we posted simultaneously.
    As a further explanation ....

    Let's attempt to draw the triangle.
    Draw a base and then construct a side making a 116° with that base.
    mark off 11 units, e.g. 11 cm
    set your compass at 10 cm , centre at the end of the 11 cm line and draw an arc towards the base.
    As you can see, it cannot reach the base.

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