Plane And Solid Geometry

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A triangle is equivalent to one half of a parallelogram having the same base and altitude.
Ex. 816. Draw four equivalent parallelograms on the same base.
Ex. 817. Find the area of a parallelogram having two sides 8 inches and 12 inches, respectively, and the included angle 60°. Find the area if the included angle is 45°.
Ex. 818. Find the ratio of two rhombuses whose perimeters are 24 inches and 16 inches, respectively, and whose smaller base angles are 30°.
Ex. 819. Find the area of an equilat
...eral triangle having a side equal to 6 inches.
Ex. 820. Find the area of an equilateral triangle whose altitude is 8 inches.
Ex. 821. Construct three or more equivalent triangles on the same base.
Ex. 822. Find the locus of the vertices of all triangles equivalent to a given triangle and standing on the same base.
Ex. 823. Construct a triangle equivalent to a given triangle and hav- ing one of its sides equal to a given line.
Ex. 824. Construct a triangle equivalent to a given triangle and hav- ing one of its angles equal to a given angle.


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