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The vertices of right triangle ABC ABC are A(−1, 2) A(−1, 2) , B(3, 2) B(3, 2) , and C(3, 7) C(3, 7) . The triangle is dilated with a scale factor of 2. Estimate the perimeter of the dilated figure to the nearest whole number.

 Mar 31, 2020
 #2
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Distance  between   (-1,2)  and  (3,2)   =  4

Distance  between (3,2) and ( 3,7)   =  5

Distance  between  (-1,2)  and (3,7)  =  sqrt [ (3 - -1)^2  + ( 7 - 2)^2 ] =  sqrt  [ 4^2 + 5^2 ]  =  sqrt (41)  ≈ 6.4

 

The  estimated perimeter  of the  new figure is  2 [ 4 + 5 + 6.4 ] =    30.8  =   31 

 

 

 

cool cool cool

 Mar 31, 2020

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