Question

Find the missing length marked with a question mark. UVW-USR

Answer 1

Given:

$\Delta UVW\sim \Delta USR$

To find:

The missing length marked with a question mark.

Solution:

Let x be the missing value.

We have,

$\Delta UVW\sim \Delta USR$

Corresponding sides of similar triangles are proportional, so

$\dfrac{UV}{US}=\dfrac{VW}{SR}=\dfrac{UW}{UR}$

Using this, we get

$\dfrac{UV}{US}=\dfrac{UW}{UR}$

On substituting the values, we get

$\dfrac{70}{x}=\dfrac{55}{44}$

$\dfrac{70}{x}=\dfrac{5}{4}$

On cross multiplication, we get

$70\times 4=5\times x$

$280=5x$

$\dfrac{280}{5}=x$

$56=x$

Therefore, the missing length is 56 units.