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In right triangle EAD with right angle at A, AE = 4 units, AB = BC = CD and the area of triangle ABE = 6 sq units. What is the length of segment CE? Express your answer as a decimal to the nearest tenth.

 

 Nov 12, 2017
 #1
avatar+641 
+3

if the area of ABE = 6, AB is 6 * 2 = AB * 4 

 

AB = 3 

 

Because AB = BC, AC = 6 

 

Using the pythagorean theorem, 4^2 + 6^2 = x^2

 

x = √52

 Nov 12, 2017
 #2
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what would it be simplified?

Guest Nov 12, 2017
 #4
avatar+2340 
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"Express your answer as a decimal to the nearest tenth."

 

\(\sqrt{52}=2\sqrt{13}\approx7.2\text{units}^2\)

TheXSquaredFactor  Nov 12, 2017
edited by TheXSquaredFactor  Nov 17, 2017
 #3
avatar+101760 
+1

√52  = √  [ 4 * 13 ]  =  √ 4 *√ 13  =  2√13

 

 

cool cool cool

 Nov 12, 2017
 #5
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+1

Thx, man.

Guest Nov 13, 2017

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