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ABCD altitude APPLICATIONS arcs axes base bisector bisects called Chapter chord circle circumscribed coincide common Compare complete congruent connecting construct corresponding Definition determine diagonal diameter difference distance divide Draw drawn equal equal circles equilateral triangle EXERCISES feet figure Find the area Find the locus fixed formed four geometric Give given given point greater half Hence hexagon hypotenuse inches included inscribed intercepted intersect joining length less lies line-segment means measured meet middle points octagon opposite parallel parallelogram passes perimeter perpendicular placed plane polygon possible preceding PROBLEM proof Prove radii radius ratio rectangle regular regular hexagon regular polygon respectively right angle right triangle segment semicircle Show shown sides similar square straight line subtend SUGGESTION symmetry tangent THEOREM trapezoid triangle unit vertex vertices whole width
Side 223 - If two triangles have two sides of the one equal to two sides of the other...
Side 121 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Side 60 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.
Side 182 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii, or as the squares of their apothems.
Side 161 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Side 227 - Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant.
Side 210 - The area of a rectangle is equal to the product of its base and altitude.