Question 1171816

In the diagram, Line AB=Line AC, angle A= 60 degrees. If Line AD = 1/4 Line AC, and AE:EB=K:5, find the value of k, with all values in cm.

A) 5
B) 2
C) 10
D) 2 1/2
E) 3 1/2

https://ibb.co/K55rshc
<pre>Let AD be x
Then DC = 3x
With ∡A being 60<sup>o</sup>, and AD = x, AE/Hypotenuse = 2x
With AC being 4x, AB is also 4x (AC = AB), and since AE = 2x, EB also = 2x
Therefore, as AE:EB = k:5, we get: 2x:2x = k:5
It clearly shows that {{{highlight_green(matrix(1,5, k, "=", 5, "(CHOICE", "A)"))}}}