what is the length of line segment lj?\n9 units\n12 units\n15 units\n18 units
what is the length of line segment lj?\n9 units\n12 units\n15 units\n18 units
Answer
Answer:
C. 15 units
Explanation:
Step1: Apply geometric - mean theorem
In a right - triangle, if the altitude is drawn to the hypotenuse, then the geometric - mean theorem states that (KM^{2}=LM\times MJ). Given (KM = 6) and (MJ=3), we have (6^{2}=LM\times3).
Step2: Solve for (LM)
From (36 = LM\times3), we get (LM=\frac{36}{3}=12).
Step3: Calculate (LJ)
Since (LJ=LM + MJ), and (LM = 12), (MJ = 3), then (LJ=12 + 3=15) units.