Question

What is the length segment of IL?

Answer 1

11 cm

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

IL = 11 cm

Explanation:

Using the tangent ratio in right triangle IJL and exact value

tan45° = 1 , then

tan45° =
`(opposite)/(adjacent)` =
`(IL)/(IJ)` =
`(IL)/(11)` = 1 , thus

IL = IJ = 11 cm