Question

A segment with endpoints C (3, 4) and D (11, 3) is divided by a point E such that CE and DE form a 3:5 ratio. Find E.
Select one:
a. (6, 3.625)
b. (5.825, 3.7)
c. (7.5, 3.4)
d. (7, 3.5)

Answer 1

@eliassaab

Answer 2

Is c=(7.8,3.4)?

Answer 3

c= 7.5,8.4

Answer 4

Let M=(3,3),
The triangle CMD is a right triangle on M.
Let E be the point on CD that divides CD in the given proportion 3:5
Draw a line from E perpendicular the the x-axis.
The line intersect MD on H.
H has to divide MD in the same proportion 3:5 (similarity)
Hence MH=3 and HD =5
Hence H=(6,3) and therefore E=(6,something)
Your answer is a

Answer 5

To find this something, you find the equation of the line
CD and you get
\[
y= \frac{35-x}{8}\\
y_E= \frac{35-6}{8}=\frac {29}8 = 3.625
\]