Plane Geometry

Cover Plane Geometry
Plane Geometry
John Wesley Young
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Hint: AABD = AACD. .. ZBAE = Z CAE.
12. Prove Ex. 11 by symmetry.
18. Why is a wooden gate suflBciently braced, theoretically, by a timber running from the comer nearest the foot of the post to the upper and outer corner of the gate ? Why is it that in practice such a brace is sometimes found insufficient ?
Digitized by VjOOQIC RIGHT TRIANGLES 73 RIGHT TRIANGLES 203. Definitions. A triangle is called a right triangle (Rt. A) if it has a right angle, an obtuse triangle if it has an obtuse angle,
... and an acute triangle if all its angles are acute. Obtuse and acute triangles are classed under the general term oblique triangle.
The side of a right triangle opposite the right angle is called the hypotenuse, and the other two sides are called the legs of the right triangle.
The following are immediate consequences of §§ 190, 191 ; Fig. 84.
Theorem* Two right triangles are congruent if the legs of the one are equal, respectively , to the legs of the other. § 191 205. Theorem. Two right triangles are congruent if the hypotenuse and an acute angle of the one are eqiwlj re- spectivelyy to the hypotenuse and an acute angle of the other.


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