Use the geometric mean (altitude) theorem. What is the value of m? 4 2 StartRoot 7 EndRoot 4 StartRoot 10 EndRoot 160
1 answer:
Answer:
Option C: 4√10
Step-by-step explanation:
From the geometric mean theorem, when we have this type of rectangle with a height of say "x" and left and right distances to this height as "a" and "b" respectively, then the theorem says that;
x/a = b/x
Applying it to this question;
Altitude is "m"
Left side measurement is 8
Right side measurement is 20
Thus;
m/8 = 20/m
Cross multiply to get;
m² = 160
m = √160
m = √(16 × 10)
m = 4√10
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