Mathematics
Grade9
Easy

Question

If two triangles UBC ~ UST, then find the value of BS.

  1. 9
  2. 3
  3. 6
  4. 12

hintHint:

In similar triangles, corresponding sides are proportional

The correct answer is: 9



    Since incrementUBC ~ incrementUST
    fraction numerator U C over denominator U T end fraction space equals space fraction numerator U B over denominator U S end fraction space left parenthesis I n space s i m i l a r space t r i a n g l e s comma space c o r r e s p o n d i n g space s i d e s space a r e space p r o p o r t i o n a l right parenthesis
6 over 24 space equals fraction numerator U B over denominator 12 end fraction
U B space equals space fraction numerator 6 space cross times 12 over denominator 24 end fraction space equals space 3
    BS = US - UB = 12 - 3 = 9
    Thus, the value of BS is 9.

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