PLEASE HELP! Find the missing length. The triangles are similar.
A. 16
B. 21
C. 27
D. 24

Answer:
The missing length would be 24.
First, you find the ratio of 55 to 33.
This gets you approximately 1.66666667
Multiply 36 by 1.66666667. This will get you 60.
60 - 36 = 24
The unknown value is 24.
The missing length would be 24.
Two triangles will be similar if the angles are equal (corresponding angles) and sides are in the same ratio or proportion(corresponding sides). Similar triangles may have different individual lengths of the sides of triangles but their angles must be equal and their corresponding ratio of the length of the sides must be the same. If two triangles are similar that means,
From figure,
BT/ RT = CT/ST
33/ 55= 36/ ST
ST= 60
Now,
SC= ST- 36
SC= 60-36
SC= 24
Hence, the missing length is 24.
Learn more about similarity here:
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