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3 years ago

Find the missing length. The triangles in each pair are similar. Please explain.

Advanced Placement (AP)

1 answer:

Vsevolod [243]3 years ago

3 0

Answer:

RT = 121

Explanation:

Since ∆RST ~ ∆RCB, their corresponding side lengths of both triangles are proportional to each other.

Therefore:

RS/RC = RT/RB

RS = 132

RC = 36

RT = ?

RB = 33

Plug in the values into the equation

132/36 = RT/33

Cross multiply

36*RT = 33*132

36*RT = 4,356

Divide both sides by 36

RT = 4,356/36

RT = 121

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