Two congruent "door-stop" trapezoids are placed edge-to-edge with measurements and markings as shown. Find the length of segment AC. Two congruent "door-stop" trapezoids are placed edge-to-edge with measurements and markings as shown. Find the length of segment AC. @Mathematics
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OpenStudy (anonymous):
OpenStudy (anonymous):
15 cm
OpenStudy (anonymous):
sorry 30 cm
OpenStudy (anonymous):
can u explain dear shabeer?
OpenStudy (anonymous):
do you know Pythagoras theorem?
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OpenStudy (anonymous):
a^2 _+ b^2 = c^2
OpenStudy (anonymous):
Yeah absolutely right. This question you try to solve, though I will help you.
OpenStudy (anonymous):
Which line segment can you calculate with the Pythagoras theorem?
OpenStudy (anonymous):
20^2 + b^2 = 25^2
OpenStudy (anonymous):
Right
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OpenStudy (anonymous):
And b=?
OpenStudy (anonymous):
400 + b^2 = 625
-400 -400
b^2 = 225
b=....15?
OpenStudy (anonymous):
Absolutely right, so what does the small line on line segment AB, BC and BE indicate
OpenStudy (anonymous):
that its congruent?
OpenStudy (anonymous):
Yeah then calculate Line segment AC
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OpenStudy (anonymous):
so just add 15 and 15? So 30?
OpenStudy (anonymous):
Yes, you knew the answer. Just try it atleast once or twice, using the basic concepts you know. That would solve the problem.