The Isosceles Triangle Theorem | MathHelp.com - Free Educational videos for Students in K-12 | Lumos Learning

The Isosceles Triangle Theorem | MathHelp.com - Free Educational videos for Students in k-12


The Isosceles Triangle Theorem | MathHelp.com - By MathHelp.com



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00:0-1 So let's say we're given an isosceles triangle with the
00:04 vertex angle that measures X degrees And a base angle
00:09 that measures 70°. . And we're asked to find the
00:12 value of X . Remember that the isosceles triangle theorem
00:18 states that if two sides of a triangle are congruent
00:22 , then the ankles opposite those sides are congruent .
00:27 So here , since we have two congruent sides And
00:31 the angle opposite one of the congruent sides measures 70°
00:37 , Then we know that the other angle opposite the
00:41 other congruent side must also measure 70°. . Now to
00:48 find the value of X . remember that the sum
00:51 of the measures of the angles of a triangle is
00:54 180°. . So we can set up the equation X
01:00 Plus 70 plus 70 equals 180 , Simplifying . On
01:08 the left side , 70 plus 70 is 140 .
01:13 So we have eggs plus 140 Equals 180 And subtracting
01:22 140 from both sides . Yes , We find that
01:29 x equals 40 . So the angles of this isosceles
01:39 triangle measure 70 70 and 40°
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