Question

What is the length segment of IL?

Answer 1

Answer:

11 cm

Step-by-step explanation:

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.

IL = IJ = 11 cm

Answer 2

Answer:

IL = 11 cm

Step-by-step explanation:

Using the tangent ratio in right triangle IJL and exact value

tan45° = 1 , then

tan45° = $\frac{opposite}{adjacent}$ = $\frac{IL}{IJ}$ = $\frac{IL}{11}$ = 1 , thus

IL = IJ =  11 cm