Concept explainers
To find: As many lengths as possible
Answer to Problem 34WE
Explanation of Solution
Given:
The figure:
Concept Used:
Theorem 3-11: The sum of measures of all
Theorem 8-2: in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
Theorem 8-6: in a
Theorem 8-7: In a
Consider the given figure:
Apply theorem 3-11 on the triangle
Similarly, Apply theorem 3-11 on the triangle
It can be observed that the triangle
Her
Now, a
Now, by theorem 8-6, the hypotenuse is
Thus,
Also the triangle
Now, by theorem 8-7, the hypotenuse is twice as long as the shorter leg, so
Also, by theorem 8-7, the longer leg is
Thus,
Consider the right triangle
Now,
So, by theorem 8-2,
Now, take square root of both sides,
Chapter 8 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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