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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

5. Isosceles and Equilateral Triangles

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Exercise 18 Page 379

Consider the Converse of the Isosceles Triangle Theorem.

CB=3

Practice makes perfect

Looking at the labels on the given figure, we can see that m ∠ CAB = m ∠ CBA which means ∠ CAB ≅ ∠ CBA.

To find CB, we will use the Converse of the Isosceles Triangle Theorem.

Converse of the Isosceles Triangle Theorem
If two angles of a triangle are congruent, then the sides opposite those angles are congruent.

Using this theorem, let's show the congruent sides.

As a result, AC≅ CB, so the value of CB is 3.

Subchapter links

Exercises p.378-382