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Do part c 4. The goal of this problem is the construction in the last part. You may use the result from any one part

Do part c

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4. The goal of this problem is the construction in the last part. You may use the result from any one part in a subsequent part even if you have not been able to prove the result. Note that the letters used in the different parts refer to different points. a. Let AABC be a right triangle with right angle at A and let D be the point on BC with AD perpendicular to BC. Let h = L (AD), I=C(BD), and y=C(CD). Show ry=h (Hint: Use the Pythagorean theorem three times.) Dy B b. Given line segments AB and CD with lengths a and b respectively, construct a line segment EF whose length c satisfies c = ab. (Hint: We have proved this semester that if XY is the diameter of circle C and Q is a third point on C, then ZXQY is a right angle. c. Given a rectangle DABCD construct a square DEFGH with the same area. Recall, that a correct construction includes both a list of steps to take and a justification that the result is the desired end. Any of the constructions we have done may be used as a single step in your construction

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