body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

4. Equilateral and Isosceles Triangles

Continue to next subchapter

Exercise 19 Page 612

Which sides are congruent given the base angles?

$B C = 5$
Explanation: See solution.

Practice makes perfect

This is an isosceles triangle since two of the triangles angles, the base angles, are congruent. According to the Converse of the Base Angles Theorem, if two angles of a triangle are congruent, then the sides $opposite$ them are congruent.

Therefore, $\overline{A B} ≅ \overline{B C}$ meaning that $B C = 5 .$

Subchapter links

Communicate Your Answer p.607

Monitoring Progress p.609-611

Exercises p.612-614