Triangle ABC was dilated and rotated to form triangle DEC.
Triangles A B C and D E C. Side A C is x and side B C is 8. Side E C is 5, side E C is 7.8, side C D is 6.
What is the length of side AC? (Figures not drawn to scale.)
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The length of the side AC = 9.6
Given:
Triangle ABC was dilated and rotated to form triangle DEC.
From triangles, ABC and DEC
AC = x, and side BC is 8, Side EC = 5, side EC = 7.8, and side CD = 6
To find:
What is the length of the side AC
Solution:
From the data,
Triangle ABC was dilated and rotated to form triangle DEC.
This implies triangle ABC and triangle DEC are similar triangles
Since the ratio of corresponding are equal
=> AB/DE = BC/EC = AC/CD
From the given dimensions
=> 8/5 = x/6
=> x = (8 × 6)/5
=> x = 9.6
Therefore,
The length of the side AC = 9.6
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