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

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