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Math question - Information attached in the image. Please show all equations or steps used to get answer. Use as much detail as possible. CEMC.UWATERLOO.CA

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Math question - Information attached in the image. Please show all equations or steps used to get answer. Use as much detail as possible.

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CEMC.UWATERLOO.CA | The CENTRE for EDUCATION in MATHEMATICS and COMPUTING Problem of the Week Problem E Diagonal Distance Square ABCD has K on BC, L on DC, M on AD, and N on AB such that K LMN forms a rectangle, AAMN and ALKC are congruent isosceles triangles, and also AMDL and ABNK are congruent isosceles triangles. If the total area of the four triangles is 50 cm', what is the length of MK? A M D L N B K C

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