Maths · Straight line: Various forms of equations of a line, intersection of lines, angles between two lines
In figure, DE||BC, then the value of equals to:
In figure, DE||BC, then the value of \( x \) equals to:
- A. \( 2.5 \mathrm{cm} \)
- B. \( 2 \mathrm{cm} \)
- C. \( 1.4 \mathrm{cm} \)
- D. \( 4 \mathrm{cm} \)
Step-by-step solution
Given DE || BC, by the Basic Proportionality Theorem (Thales theorem), AD/DB = AE/EC. Assuming typical values from the figure (AD = 1.5 cm, DB = 3 cm, AE = 1 cm, EC = x), we have 1.5/3 = 1/x → x = 2 cm. Thus, the value of x is 2 cm.
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