The length of is given by the relationship between the similar triangles
ΔABD and ΔBDC.
Reasons:
The given parameters are;
The altitude of triangle ΔABD =
The hypotenuse of formed right triangle =
The length of AD = 8
Length of BD = 24
Whereby ΔABD is a right triangle
We have;
ΔABD is similar to ΔBDC
Therefore, by similar triangle proportional sides relationship, we have;
Which gives;
=
Therefore;
Which gives;
Learn more about similar triangles here:
Answer:
<h2>Hence the second option is the correct answer</h2>Step-by-step explanation:
In this problem we are required to factor out the given terms as stated in the expression, what is obtainable is that we look for terms(greatest terms) that are common to all the terms in the expression and factor it out.
here is a way to do it
given the following expression
From the expression above we can see that 3 is common to all the terms of the expression so that we have
hence the second option is the correct answer