Please help Given the image, solve for x.A) 8 B) 9 C) 15 D) 17
Accepted Solution
A:
Solution:we are given with a diagram , and we have been asked to find the value of x.From the diagram its clear that Triangle ABC and Triangle BCD are similar.So from the property of the similar triangle we know that -"The ratio of their corresponding sides are equal"So we can write [tex] \frac{BD}{AE}=\frac{CD}{CE}\\ \\ \ \Rightarrow \frac{6}{x}=\frac{4}{4+6}\\ \\ \Rightarrow \frac{6}{x}=\frac{4}{10}\\ \\ \text{Now simplify we get}\\ \\ x=\frac{10}{4}*6 =\frac{60}{4}\\ \\ x=15\\ [/tex]Hence value of x=15