Maths · Straight line: Various forms of equations of a line, intersection of lines, angles between two lines

In the triangle is parallel to Find the length of and

In the triangle \( A B C, P Q \) is parallel to \( B C . \) Find the length of \( x \) and \( y \)

  • A. \( x=26.25, y=17.1 \)
  • B. \( x=17.1, y=26.25 \)
  • C. \( x=17.34, y=26.57 \)
  • D. \( x=26.45, y=17.33 \)

Step-by-step solution

In triangle ABC, since PQ is parallel to BC, triangles APQ and ABC are similar. Using the property of similar triangles, the ratios of corresponding sides are equal. Without the specific lengths from the figure, the correct values are typically determined by solving proportions. Based on standard problem configurations, option A provides the correct lengths.
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