Carolinedock Carolinedock
  • 17-05-2021
  • Advanced Placement (AP)
contestada

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

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

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akposevictor
akposevictor akposevictor
  • 23-05-2021

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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