Answer:
IL = 11 cm
Step-by-step explanation:
Using the tangent ratio in right triangle IJL and exact value
tan45° = 1 , then
tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{IL}{IJ}[/tex] = [tex]\frac{IL}{11}[/tex] = 1 , thus
IL = IJ = 11 cm
11 cm
Since m<IJL = 45 deg, and m<JIL = 90 deg, then m<ILJ is 45 deg.
That makes triangle IJL a 45-45-90 isosceles right triangle with congruent sides IJ and IL.
