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Find the missing distance in this diagram with two isosceles triangles
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Triangle ABC has a right angle at C. ACRS and CBPQ are squares. ST and PU are perpendicular to AB produced. Show that ST + PU = AB
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The diagonal of a square intersects the line joining one of the unused corners to the midpoint of the opposite side. What do you notice about the line segments produced?
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Can you prove Pythagoras' Theorem using enlargements and scale factors?
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An equilateral triangle is constructed on BC. A line QD is drawn, where Q is the midpoint of AC. Prove that AB // QD.
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A red square and a blue square overlap. Is the area of the overlap always the same?
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Given that ABCD is a square, M is the mid point of AD and CP is perpendicular to MB with P on MB, prove DP = DC.
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Weekly Problem 4 - 2008
In the figure given in the problem, calculate the length of an edge.
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What fractions can you divide the diagonal of a square into by simple folding?
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