Practice Quiz

SAT Math

Category - Geometry and Measurement

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What is the length of BC in the figure below?
  1. 16/3
  2. 6
  3. 20/3
  4. 7
  5. 25/3
Explanation
Answer: C - The length of BC is 20/3. Use the similarity of triangles and the Pythagorean Theorem:
AC^2=CD^2+AD^2=4^2+3^2=16+9=25
AC=√25=5
∢CDA=∢ACB=〖90〗^o
∢DAC=∢BAC
∆ACD~∆ABC
AD:CD=AC:BC
3:4=5:BC
3BC=4×5
BC=20/3
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