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Triangle ABC is first rotated clockwise about A for 90 degrees to triangle AB1C1.  Triangle AB1C1 is then reflected over B1C1 to triangle A1B1C1.  Triangle A1B1C1 is then translated 8 units to the right to triangle A2B2C2.  Triangle A2B2C2 is then dilated about A to triangle A3B3C3 with scale factor -14.  What is the perimeter of triangle A3B3C3?

 

 
 Nov 21, 2020
 #1
avatar+452 
-1

The perimeter of triangle A3B3C3 = 224.1703648

 
 Nov 23, 2020
 #2
avatar+452 
+2

CORRECTIONS:

 

The perimeter of triangle A3B3C3 is 14 times the perimeter of triangle ABC, and the triangle is turned upside-down.

 

P = 224 units

 

A (0, 0)      B (3, 4)        C (6, 0) 

 

A1 (5.76, - 7.68)        B1 (4, - 3)         C1 (0, - 6)   

 

A2 (13.76, - 7.68)           B2 (12, - 3)          C2 (8, - 6)   

 

A(-192.64, 107.52)           B3 (-168, 42)            C3 (-112, 84)

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Question: Why am I not able to edit my own post???!! It's weird... makes me angry

 
jugoslav  Nov 23, 2020
edited by jugoslav  Nov 23, 2020
edited by jugoslav  Nov 23, 2020
edited by jugoslav  Nov 23, 2020

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