Sides to Form Triangles

v

U

W

5552363959656.

10

100

89

leg A

leg B

hypotenuse

right angle

Yes, AA Similarity

Yes, SSS Similarity

Yes, SAS Similarity

Not Similar

△ACE

△AEC

△EAC

△ECA

21

18

16

24

x/10 = 15/30

x/10 = 45/30

x/10 = 15/45

x/10 = 30/15

$$\frac{x+6}{x}=\frac{21}{9}$$

$$\frac{x+6}{2x+6}=\frac{21}{30}$$

$$\frac{30}{x+6}=\frac{21}{2x+6}$$

$$\frac{x}{2x+6}=\frac{30}{9}$$

$$\frac{5x+10}{24}=\frac{15}{9}$$

$$\frac{24}{15}=\frac{9}{5x+10}$$

$$\frac{9}{15}=\frac{5x+10}{24}$$

$$\frac{24}{5x+10}=\frac{9}{15}$$

$$\frac{5x+5}{35}=\frac{16}{44}$$

$$\frac{5x+5}{16}=\frac{35}{28}$$

$$\frac{16}{44}=\frac{5x+5}{35}$$

$$\frac{28}{35}=\frac{5x+15}{16}$$