a.
To find: the area of the
Given information:
The image of quadrilateral
Definition Used:
Area of a
The area of any triangle is given by one half the product of the lengths of two sides times the sine of their included angle. For
shown, there are three ways to calculate the area:
Explanation:
Let
Since, two sides of a triangle and the angle between them is given, so using the above-mentioned formula, the area of the given triangle is:
b.
To find: the area of the
Given information:
The image of quadrilateral
Definition Used:
Area of a triangle
The area of any triangle is given by one half the product of the lengths of two sides times the sine of their included angle. For
shown, there are three ways to calculate the area:
Explanation:
Let
Since, two sides of a triangle and the angle between them is given, so using the above-mentioned formula, the area of the given triangle is:
c.
To find: the area of the kite ABCD.
Given information:
The image of quadrilateral
Definition Used:
Area of a triangle
The area of any triangle is given by one half the product of the lengths of two sides times the sine of their included angle. For
shown, there are three ways to calculate the area:
Explanation:
From the given figure it is clear that,
Using values from part (a) and (b),
Chapter 9 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education