What Question?

An Advanced Mathematics Lesson Starter Of The Day

Trig Diagram

Write down all the possible questions that could have been asked if this was the diagram provided in a mathematics textbook.


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    Answer

    Clearly the number of possible questions is endless but examples are:

    Find the opposite (side to the 41 degree angle)

    Find the adjacent

    Find the other angle of the triangle

    Find the area of the triangle

    Find the radius of a circle that has the same area as this triangle

    Find the length of the opposite in inches

    Construct this triangle and find its circumcentre

    What are the upper and lower bounds of the area found using the given measurements if the angle was measured to the nearest degree and the hypotenuse was rounded to three significant figures.

    How many of these triangles would it take to tessellate a rectangular area 2 metres by 3 metres?

     

    More Mathematics Lesson Starters

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