Concept explainers
Tocalculate:
The value of
Answer to Problem 50HP
The values of
Explanation of Solution
Given information:
Calculation:
The altitude drawn to the hypotenuse of a right
So, geometric mean leg theorem shows that,
Now, square each side
Now simplify,
By using the multiplication property,
Solve the resulting equation with quadratic formula.
So use the quadratic formula
Now substitute,
Substitute,
The negative solution
Geometric mean leg theorem shows that,
The altitude drawn to the hypotenuse of a right triangle separates the hypotenuse into two segments. The length of this altitude is the geometric mean between the lengths of these two segments.
Geometric mean altitude theorem shows that,
Hence, the values are
Chapter 8 Solutions
Geometry, Student Edition
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