Answer:
KI=11.25 and HI=6.75
Step-by-step explanation:
Consider the below figure attached with this question.
According to Pythagoras Theorem:
Use Pythagoras in triangle HKL
Taking square root on both sides.
Let length of HI be x.
LI = 12+x
Use Pythagoras theorem in ΔKLI,
Use Pythagoras theorem in ΔHKI,
From (1) and (2) we get
Hence, the measure of HI is 6.75 units.
Substitute x=6.75 in equation (2).
Taking square root on both sides.
Hence, the measure of KI is 11.25 units.
