Concept explainers
Tofind:the altitude of the isosceles triangle shown in the figure and round off to two decimal.
Answer to Problem 16E
The altitude of an isosceles triangle is a=1.6 meters.
Explanation of Solution
Given:
Concept used:
Isosceles triangle has two equal sides and angle.
Pythagoras theorem:
Calculation:
Consider the value
To find the altitude of an isosceles triangle, draw a perpendicular on BC
Let the altitude be a and hypotenuse be c.
To solve for c, use the cosine formula in triangle ABD.
Now put the value of cosine
To find the altitude of an isosceles triangle use the Pythagoras theorem;
Here
Now, take square root
Hence, the altitude of an isosceles triangle is a=1.6 meters.
Chapter 4 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning