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3 years ago

Use the geometric mean (altitude) theorem. What is the value of m? 4 2 StartRoot 7 EndRoot 4 StartRoot 10 EndRoot 160

Mathematics

1 answer:

UkoKoshka [18]3 years ago

3 0

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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