Concept explainers
a.
To find: The length of side BC.
a.

Answer to Problem 22CR
The length of
Explanation of Solution
Given information:
Side
Side
Side
Formula used:
The below theorem is used:
Angle bisector theorem states that “If a ray bisects an angle of a triangle, then it divides the opposite side of the triangle into segments that are proportional to the other two sides”.
Calculation:
By Angle Bisector Theorem, we get
b.
Tocalculate: The length of sideBE .
b.

Answer to Problem 22CR
The length of
Explanation of Solution
Given information:
Side
Side
Side
Formula used:
The below theorem is used:
Pythagoras theorem states that “In a right angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
In right angle triangle,
Calculation:
Note that
So it is right angle triangle with
Side BE can be calculated by applying Pythagoras Theorem.
In right angle triangle BDE , we get
c.
To find: The length of sideAD .
c.

Answer to Problem 22CR
The length of
Explanation of Solution
Given information:
Side
Side
Side
Formula used:
The below property is used:
Two sides are congruent as there triangles are congruent by ASA congruence rule.
Calculation:
Two triangles are congruent by ASA congruence rule.
Sides of congruent triangles are congruent.
Chapter 9 Solutions
Geometry For Enjoyment And Challenge
Additional Math Textbook Solutions
College Algebra with Modeling & Visualization (5th Edition)
Elementary Statistics (13th Edition)
Pre-Algebra Student Edition
Elementary Statistics
Intro Stats, Books a la Carte Edition (5th Edition)
Elementary Statistics: Picturing the World (7th Edition)
- 39 Two sides of one triangle are congruent to two sides of a second triangle, and the included angles are supplementary. The area of one triangle is 41. Can the area of the second triangle be found?arrow_forwardA parallelogram with an area of 211.41 m^2 hast a base Thatcher measures 24.3m. Find ist height.arrow_forwardBH is tangent to circle A and DF is a diameter. I don't know where to go from here. May you help please?arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning

