To prove:The product of the two legs is equal to the product of the hypotenuse and the length of the altitude drawn to the hypotenuse in a right
Explanation of Solution
Proof:
Consider the following figure.
Here,
ABC is a right-angled triangle such that
Also,
If in a right-angled triangle, a perpendicular is drawn from the right
So,
If triangles are similar then the corresponding sides are proportional.
Hence,
So,
In a right triangle, the product of the hypotenuse and the length of the altitude drawn to the hypotenuse equals the product of the two legs
Chapter 8 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Additional Math Textbook Solutions
Introductory Statistics (10th Edition)
Algebra and Trigonometry
Intermediate Algebra for College Students (7th Edition)
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
Fundamentals of Differential Equations and Boundary Value Problems
- 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