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In ∇QWE, m∠Q=45 and m∠E=90.  If EW=7, find QE and QW

 

QE=?, QW=?√?

 Jul 8, 2014

Best Answer 

 #1
avatar+576 
+5

My response will be based on the assumption that you mean triangle QWE rather than DeltaQWE and also that we are working in a plane.

Since the interior angles sum to 180, that means angle W=45 and we have an isosceles right triangle.  With that, knowing one leg, EW=7, guarantees the other leg is congruent so WE=7 as well. 

In a 45-45-90 triangle the hypotenuse is always longer than the legs by a factor of sqrt(2), ergo QW=7sqrt(2)

 Jul 8, 2014
 #1
avatar+576 
+5
Best Answer

My response will be based on the assumption that you mean triangle QWE rather than DeltaQWE and also that we are working in a plane.

Since the interior angles sum to 180, that means angle W=45 and we have an isosceles right triangle.  With that, knowing one leg, EW=7, guarantees the other leg is congruent so WE=7 as well. 

In a 45-45-90 triangle the hypotenuse is always longer than the legs by a factor of sqrt(2), ergo QW=7sqrt(2)

jboy314 Jul 8, 2014
 #2
avatar+839 
0

Yes I mean triangle there just wasnt a thing for it :P

 Jul 8, 2014

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