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3) Here is a quick sketch that a student made of
a diagram she saw in a book. The student was
in a hurry and didn't have time to use a
protractor while making the sketch but the
student was sure the line segments were
straight, the two right triangles are similar, and
the labeled angle in the smaller triangle on the
left was 32 degrees. What was the
measurement of the angle that the student saw
in the book, in degrees, of the obtuse angle just
to the right of the large triangle?
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4) The figure represents a net that you cut out along the
solid outside lines and then fold along the interior dotted
lines. The length of the side of the square is 5 units. The
isosceles triangles have height h. What is the smallest
number h must be greater than to guarantee the net can be
folded to make a pyramid?
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5) Two isosceles triangles are inscribed in a circle so that
they share a common base, see example in diagram.
Triangle HLJ contains the center of the circle, P, in its
interior. Of the angles labeled 1, 2, 3, and 4 how many must
be acute?
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