Question

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

Answer 1

C

Explanation:

C

Answer 2

Option C: 4√10

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