...shorter diagonal is 4'5 cm., and the obtuse angle is 114°. Measure the lengths of its sides. P. 4. Show that, if two angles of a triangle are equal, the sides opposite to these angles are equal. 5. If a parallelogram is defined in the usual manner as ' a four.sided figure whose opposite...

...12. If two sides of a triangle are equal, the angles opposite to these sides are equal 16 THEOREM 13. If two angles of a triangle 'are equal, the sides opposite to these angles are equal . • 16 THEOREM 14. If two triangles have the three sides of the one equal to the three sides...

...and 5 cm. and the included angle - 65° ; and measure the length of the third side in centimetres. 2. If two angles of a triangle are equal, the sides opposite to these angles are equal. The bisector of the interior angle at C in the triangle ABC meets All in D ; DF is drawn parallel...

...triangles are congruent . . . . 268 THEOREM 12. If two sides of a triangle are equal, the PACE THEOREM 13. If two angles of a triangle are equal, the sides opposite to these angles are equal . . . 269 THEOREM 14. If two triangles have the three sides of the one equal to the three sides...

...Triangles. A 13. If two sides of a triangle are equal, the angles opposite to these sides are equal. A 14. If two angles of a triangle are equal, the sides opposite to these angles are equal. Loci. A 15. The locus of a point which is equidistant from two fixed points is the perpendicular...

...12. If two sides of a triangle are equal, the angles opposite to these sides are equal. THEOREM 13. If two angles of a triangle are equal, the sides opposite to these angles are equal. For proofs of these Theorems see Theoretical Geometry, p. 21. The phrase "the sides" of an isosceles...

...of a triangle are equal, the angles opposite to these sides are equal. (p. 55.) FACT M [Th. i. 13]. If two angles of a triangle are equal, the sides opposite to these angles are equal- (p. 56.) FACT N [Th. I. 15]. If two right-angled triangles have their hypotenuses equal, and...

...Ex. 467 two or three times with other lines and angles BOOK I THEOREM 13. [CONVERSE OF THEOREM 12.] If two angles of a triangle are equal, the sides opposite to these angles are equal. Data ABC is a triangle which has LB = i. C. To prove that AC = AB. Construction Draw AD to represent...

...10. If two sides of a triangle are equal, the angles opposite to these sides are equal. THEOREM 1 1. If two angles of a triangle are equal, the sides opposite to these angles are equal. 240 •{•THEOREM 12. If two triangles have the three sides of the one equal to the three sides...

...bisector of the angle between them cuts the third side at right angles and bisects it. Theorem 12. // two angles of a triangle are equal, the sides opposite to these angles are equal. Also the line bisecting at right angles the side adjacent to these angles passes through the...