Question

Once you you know the length of YX, find the length of the lower base, ZX. 14 units 10 + 4 StartRoot 3 EndRoot units 18 units 10 + 8 StartRoot 3 EndRoot units

Answer 1

Given:

Consider the below figure attached with this equation.

To find:

Length of side ZX.

Solution:

From the figure it is clear that, WXY is a right angled triangle.

According the 30°-60°-90° theorem, the longer leg (opposite to 60° angle) of the right-angled triangle is $\sqrt{3}$ times of shorter leg (opposite to 30° angle).

In the below figure, WY is longer leg and XY is shorter leg.

$WY=\sqrt{3}XY$

$8\sqrt{3}=\sqrt{3}XY$

$8=XY$

So, the length of XY is 8 units.

VWYZ is a rectangle, so

$ZY=VW=10$

Now,

$ZX=ZY+YX$

$ZX=10+8$

$ZX=18$

So, the length of ZX is 18 units.

Therefore, the correct option is C.