Attachment:
triangle.jpg
\(\overline{AD} =2\)
\(\overline{DC}=x\)
\(\overline{CE}=8\)
\(\overline{BE}=y\)
\(\overline{DE}\) is parallel to \(\overline{AB}\)
Quantity A |
Quantity B |
x |
y |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Hi..
since \(\overline{DE}\) is parallel to \(\overline{AB}\), triangle ABC and CDE are similar triangles. This means the sides are in proportion..
ABC similar DEC .. thus
\(\frac{AB}{DE}=\frac{BC}{EC}=\frac{CA}{CD}.............\frac{15}{10}=\frac{8+y}{8}=\frac{x+2}{x}\)..
\(\frac{15}{10}=\frac{8+y}{8}........15*8=10*(8+y)......y=\frac{8*(15-10)}{10}=4\)