The figure below shows CB = 4, BE = 5, AB = 2x – 2, and DB = x + 2.

If ΔABC ~ ΔDBE, the value of x is _________

Question

The figure below shows CB = 4, BE = 5, AB = 2x – 2, and DB = x + 2. 
 


If ΔABC ~ ΔDBE, the value of x is _________

anonymous · Answer

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_Seg_Two_Exam_36/image0044e9d7cb1.jpg

anonymous · Answer

$$\LARGE \color{red}{Proportion \space Time!}$$Set up a ratio between the similar triangles.

anonymous · Answer

4/5=x+2/2x-2?

anonymous · Answer

x=6?

anonymous · Answer

$$\frac45 = \frac{2x - 2}{x + 2}$$

anonymous · Answer

x=3

anonymous · Answer

is the height of a equilangular triangle the same as the side lengths?

anonymous · Answer

|dw:1343601017512:dw|

anonymous · Answer

No.

anonymous · Answer

An equiangular triangle is also an equilateral triangle.

anonymous · Answer

This is the question: A city park has an architectural pillar in the shape of a triangular pyramid. The shape of the base of the pillar is an equilateral triangle. The dimensions of the shape of the pillar are as shown below.


 
The park plans to repaint the lateral area of the pillar. The area of the pillar that will be repainted is _______________ ft2.

anonymous · Answer

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_Seg_Two_Exam_39/image0034e9d760b.jpg

anonymous · Answer

I found out the height of the base is sqrt12 and the slant height is sqrt65

anonymous · Answer

1/2(12)(sqrt65)+1/2(4)(sqrt12)?

anonymous · Answer

That is unnecessary. You have the slant height and side length of the base. So just find the area of one of the triangles and multiply by 3.

anonymous · Answer

But the given is the height...not the slant height

anonymous · Answer

Sorry I forgot I wasn't doing SA

anonymous · Answer

Oh! So it's 54?

anonymous · Answer

Yup :)