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The two triangular prisms

depicted below are similar.
What is the value, in centimeters, of "x"?*

The two triangular prisms depicted below are similar. What is the value, in centimeters-example-1
User Qmorgan
by
8.6k points

1 Answer

5 votes

Answer:


x = 7cm

Explanation:

Given

Similar prisms

Required

Find x

Because both sides are similar, we can get the ratios of similar sides.

For the base of the prism:


Ratio= 8cm : 4cm

For the height:


Ratio = 14cm : x

Similar triangles have similar ratios.

So, we have:


8cm:4cm = 14cm:x

Convert to fraction


(8cm)/(4cm) = (14cm)/(x)


(8)/(4) = (14cm)/(x)


2 = (14cm)/(x)

Make x the subject


x = (14cm)/(2)


x = 7cm

User Alexander Trauzzi
by
7.9k points

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