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elena-14-01-66 [18.8K]
3 years ago
14

Use similar triangles ABC and XYZ to find the missing height h. around to the nearest tenth if necessary.

Mathematics
1 answer:
Kamila [148]3 years ago
3 0

Answer:

Therefore,

The height is 23.3 ft.

Step-by-step explanation:

Given:

ΔABC ~ ΔXYZ

AC = 108.5 ft

BC = h

XZ = 14 ft

YZ = 3ft

To Find:

h = ?

Solution:

Δ ABC ~ Δ XYZ….Given  

If two triangles are similar then their sides are in proportion.  

\dfrac{AB}{XY} =\dfrac{BC}{YZ}=\dfrac{AC}{XZ} \textrm{corresponding sides of similar triangles are in proportion}\\  

Substituting the values we get

\dfrac{BC}{YZ}=\dfrac{AC}{XZ}

\dfrac{h}{3}=\dfrac{108.5}{14}\\\\h=\dfrac{325.5}{14}=23.25=23.3(nearest tenth)

Therefore,

The height is 23.3 ft.

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