(a)
To find: The length of a leg of the triangle.
(a)
Answer to Problem 21E
Explanation of Solution
Given information: Geometry: Each base angle of an isosceles triangle measures
Calculation:
The triangle we will work with (the right half)
To find the length of the leg we are working with adjacent and hypotenuse so we use cosine.
(b)
To find: The altitude of the triangle.
(b)
Answer to Problem 21E
Explanation of Solution
Given information: Geometry: Each base angle of an isosceles triangle measures
Calculation:
This is the right half of the triangle with the altitude making the left side.
The leg length has been solved as 5.4 in part (a).
We are looking for the altitude. Using our angle we can set this up as either a tangent or sine problem. I will use tangent as I prefer to use as many given numbers as I can.
That way, if I’ve made one mistake (say on the leg length) it will not cause me to make more. So the equation is,
Thus the altitude is 6.7 m.
(c)
To find: the area of the triangle.
(c)
Answer to Problem 21E
Explanation of Solution
Given information: Geometry: Each base angle of an isosceles triangle measures
Calculation:
This is the original triangle. We found the altitude to be 6.69 in part (b) of this problem. The base is given as 14.6. The formula for the area of a triangle is,
Thus the area of the triangle is
Chapter 5 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus: Early Transcendentals (3rd Edition)
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