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1. Let G be the center of equilateral triangle XYZ. A dilation centered at G with scale factor -3/4 is applied to triangle XYZ to obtain triangle X'Y'Z'. Let A be the area of the region that is contained in both triangles XYZ and X'Y'Z'. Find A/[XYZ]

 

2. Let T be a point inside square EFGH such that TE = sqrt6, TF = 2sqrt3, and TG = 3sqrt2. Find angle ETF in degrees.

 Apr 30, 2022
 #1
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1. A/[XYZ] = 45/96

 

2. Angle ETF = 96 degrees.

 May 1, 2022
 #2
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Thanks!

Guest May 2, 2022

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