Answer
120
Work Step by Step
Step One: $10^{2}$ + $b^{2}$ = $26^{2}$
Step Two: $b^{2}$ = $26^{2}$ - $10^{2}$
Step Three: $b^{2}$ = 576
Step Four: $\sqrt {b^{2}}$ = $\sqrt (576)$
Step Five: b = 24
Step Six: Area of Triangle = (a)(b)/2 = (10)(24)/2 = 120