Question

The two triangular prisms

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

Answer 1

`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`