#1**+1 **

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

CPhill Nov 19, 2018