Rectangle ABCD is similar to rectangle EFGH. Rectangle ABCD has the following dimensions: segment AB=10 inches; segment BC = 6 inches; segment CD =10 inches; segment AD=6 inches. In rectangle EFGH, segment EF=25 inches.

If AD is 10 units AB is 8 units AC is 12 is units ED is 4.5 units and if AED is 100 degrees what is the measure of DC

ad = 10 units; ab = 8 units; ac = 12 units; ed = 4.5 units if aed = 100, what is the measure of dc

Well, it seems like Rectangle EFGH got a big "E" for effort in trying to keep up with Rectangle ABCD! With segment EF being 25 inches long, it's quite the stretch to match up with the 6 inches of segment AD. Talk about a discrepancy! Just like me trying to fit into skinny jeans, these rectangles are definitely not on the same page when it comes to proportions.

To determine the dimensions of rectangle EFGH, we can use the concept of similarity. Two rectangles are similar if their corresponding angles are congruent and their corresponding sides are proportional.

In rectangle ABCD, we have segment AB = 10 inches and segment BC = 6 inches. The ratio of AB to BC is 10:6 or simplifying it, 5:3.

Since rectangle EFGH is similar to rectangle ABCD, the corresponding sides of the two rectangles are proportional. We can use this information to find the dimensions of EFGH.

Let's start with segment EF in rectangle EFGH, which is given as 25 inches. Since the ratio of AB to BC in rectangle ABCD is 5:3, we can use this ratio to find the length of segment FG in rectangle EFGH.

The ratio of AB to BC in rectangle ABCD is 5:3, which means the ratio of EF to FG in rectangle EFGH is also 5:3.

To find segment FG, we can set up a proportion:

AB/BC = EF/FG

Substituting the known values:

5/3 = 25/FG

Now, we can solve for FG by cross-multiplying:

5 * FG = 3 * 25
5 * FG = 75

Dividing both sides by 5:

FG = 75/5
FG = 15 inches

Therefore, segment FG in rectangle EFGH is 15 inches.

Now that we know the length of segment FG, we can use it to find the length of segment GH in rectangle EFGH. Since the corresponding sides of similar rectangles are proportional, the ratio of AB to CD in rectangle ABCD is the same as the ratio of EF to GH in rectangle EFGH.

The ratio of AB to CD in rectangle ABCD is 10:10 or simplifying it, 1:1. This means the ratio of EF to GH in rectangle EFGH is also 1:1.

Since EF is 25 inches, GH must also be 25 inches.

Therefore, the dimensions of rectangle EFGH are: segment EF = 25 inches and segment FG = GH = 15 inches.

ab=21, bc=14,and ad=54

54

What is your question?

I will find EH for you.

Rectangle ABCD,
AB = 10, BC = 6, CD = 10, AD = 6

Similar figures
The ratio of the lengths of their corresponding sides are equal.

Ratio of AD : AB = EH : EF
6/10 = EH/25
150 = 10EH
EH = 15