Concept explainers
Find the simplified expression for the length of a brace.
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Answer to Problem 34PPE
The simplified expression for the length of a brace is
Explanation of Solution
Given:
Students are building rectangular wooden frame for the set of a school play.The height of a frame is 6 times the width w .Each frame has a brace that connects two opposite corners of the frame.
Formula Used:
Pythagoras Theorem:
In a right angled
Calculation:
Given the height/length of the frame is 6 times the width w .
So, l = 6w
Let the length of the brace = c .
Since the brace connects two opposite corners of the frame, it becomes the hypotenuse of the right angled triangle whose sides are the length and width of the frame.
Use Pythagoras theorem:
So, the simplified expression for the length of a brace is
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