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A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on the legs. What are the lengths of the sides of the rectangle, if their ratio is 5:2, and the length of the hypotenuse is 45 in?

 Apr 4, 2018
 #1
avatar+101870 
+2

This isn't much, tertre....more...."draw a pic and see what makes sense "......

 

Look at this.....

 

 

The triangle ABC  is a right isosceles triangle....note the rectangle DEFG....GF  = 25    and DG  = 10

 

So...their ratio  is  25/10  = 5/ 2

 

So....the sides of the rectangle are  25  and 10

 

 

cool cool cool

 Apr 4, 2018
 #2
avatar+4296 
+2

Thanks so much, CPhill! Great job!

 Apr 4, 2018

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