In the figure below, the lengths of right triangle BAC are shown. Side BD bisects side AC. What is the length of side CD ?
A.) √3
B.) 2 C.) 3 D.) 2√5 E.) 4
Use the Pythagorean Theorem in triangle BAC to find side AD which is congruent to side CD, since BD bisects AC.
Pythagorean Theorem a² + b² = c² {sum of the squares of the legs, a and b, is equal to the square of the hypotenuse} 4² + b² = 5² {substituted legs and hypotenuse into Pythagorean Theorem} 16 + b² = 25 {evaluated exponents} b² = 9 {subtracted 16 from each side} b = 3 {took positive square root of each side} C.) 3 Ask Algebra House Comments are closed.

Latest Videos
Archives
September 2021
ACT is a registered trademark of ACT, Inc. SAT is a registered trademark of the College Board. ACT and SAT are not affiliated with this site.
