Question

What is m? please help

Answer 1

Given:

$\Delta ABC\sim \Delta QRS$

To find:

The missing value of m.

Solution:

We have,

$\Delta ABC\sim \Delta QRS$

Corresponding parts of similar triangles are proportional.

$\dfrac{AB}{QR}=\dfrac{AC}{QS}$

Putting the given values, we get

$\dfrac{m}{10}=\dfrac{2}{4}$

$\dfrac{m}{10}=\dfrac{1}{2}$

Multiply both sides by 10.

$\dfrac{m}{10}\times 10=\dfrac{1}{2}\times 10$

$m=5$

Therefore, the value of m is 5.