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

c

Explanation:

Answer 2

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
`√(3)` times of shorter leg (opposite to 30° angle).

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

`WY=√(3)XY`

`8√(3)=√(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.