Respuesta :

apocritia

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

Riia

In the given triangle, BD is parallel to AE .

So angles CBD and CAE, and angles CDB and CEA are congruent.

Therefore triangles CBD and CAE are similar by AA criteria .

Now we use the property of similar triangle, according to which , ratio of corresponding sides are proportionate. That is

[tex] \frac{BD}{AE}=\frac{CD}{CE} [/tex]

[tex] \frac{6}{x} = \frac{4}{4+6}
\\
6*10 = 4x
\\
60 = 4x
\\
x =15 [/tex]

Therefore , correct option is C .

Otras preguntas