Question

Find the missing value. m = m77 2. 3 6 3

Answer 1

We will find the value of m as follows:

*Since we have that the triangles contained are similar (by theorem), then the following is true:

`(5)/(3+6+3)=(m)/(6+3)`

Now, we solve for m:

`(5)/(12)=(m)/(9)\Rightarrow m=(9\cdot5)/(12)\Rightarrow m=(15)/(4)\Rightarrow m=3.75`

So, the measure of m is 3.75 units.