Question

How do you solve this?

Geometric Mean Middle, Left, Right

Determine the value of x, y, w and z.. Round to the nearest tenths place if necessary.
X =
y =
W =
Z=
​

Answer 1

w=5 x=2.1 y=5.4 z= 14.1

Explanation:

w² = 13² - 12² = 25

w = 5

cos ∠1 = 12/13 = 13/(12+x)

12 (12+x) = 13 x 13 = 169

144 + 12x = 169

12x = 25

x = 25/12 = 2.08 = 2.1

∠1 + ∠2 = 90°

∠2 + ∠4= 90° ∠4 = ∠1

sin ∠4 = x/y = sin ∠1 = 5/13

5y = 13x

y = 13/5 x = 13/5 * 25/12 = 65/12 = 5.4

z = 12 + x = 12 + 2.08 = 14.08 = 14.1