The value of x is 20.
Solution:
Sides of one triangle are 2x – 4 and 39.
Sides of another triangle are x + 6 and 24.
<u>Property of similar triangle:</u>
<em>If two triangles are similar then their corresponding angles are congruent and the corresponding sides are in the same ratio.</em>
Do cross multiplication.
Divide by 2 on each of the term.
Solve using quadratic equation.
Ignore the negative term, because if you substitute this you will get a negative terms only. But length of sides cannot be in negative measures.
Therefore x = 20.