# Triangle + the proof - math problems

#### Number of problems found: 5

• Proof PT Can you easily prove Pythagoras theorem using Euclidean theorems? If so, do it.
• Triangle Prove whether you can construct a triangle ABC, if a=9 cm, b=6 cm, c=10 cm.
• Prove Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x2+y2+2x+4y+1=0 k2: x2+y2-8x+6y+9=0
• See harmonics It is true that the size of the central segment of any trapezoid is the harmonic mean size of its bases? Prove it. Central segment crosses the intersection of the diagonals and is parallel to the bases.
• Diagonal in rectangle In that rectangle ABCD is the center of BC point E and point F is center of CD. Prove that the lines AE and AF divide diagonal BD into three equal parts.

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