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In right triangle  PQR, /Q=/R=  and . PR= 6√2 What is the area of  PQR ?

 Nov 19, 2018
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Q

 

 

P    6√2         R

 

Since angle Q  = angle R.......this is a 45 - 45 - 90 right triangle

Angle P is right

And the sides opposite the other two angles are equal....so... PR  = QP

 

But these are the leg lengths

 

And the area of a right triangle  =

 

[ Product of leg lengths ] / 2   =  

 

[ 6√  2  * 6√2 ] / 2  =

 

[ 36 * 2] / 2  =

 

36 units^2

 

 

cool cool cool

 Nov 19, 2018

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