Similar Triangles and Scale Factor

Here you will find similar triangle, scale factor, and proportional reasoning practice problems. Click here if you need to review basic algebra. Visit this page directly hunkim.com/similar

1. See triangles below and solve x
   
   
   Solution
   16
   
   
2. See triangle below:
   
   1. Find c
      Solution
      13
      
      
   2. Find x
      Solution
      6
      
      
3. Find x in the triangle below:
   
   Solution
   9
   
   
4. The Burj Khalifa is about 830 m tall. The ruler measurement of a picture of this building is 6 cm. The ruler measurement of the picture of a monster is 4.25 cm. How tall is the monster in real life?
   
   Solution
   \approx 587.9 m
   
   
5. Challenge: 360 degrees is equal to 2\pi radians.  The formula for the circumference of a circle is \pi r^2 and the area of a circle is \pi r^2. Show that the arc length of a sector of a circle is \text{arc}=r\theta
   Solution
   \frac{\text{arc}}{\theta}=\frac{2\pi r}{2\pi}

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