Maths · Distance formula, sections formula, locus and its equation
Construct a quadrilateral where and The relation between diag. and diag. is
Construct a quadrilateral \( \boldsymbol{A B N V} \) where \( \boldsymbol{A} \boldsymbol{V}=\mathbf{7} \boldsymbol{c m}, \boldsymbol{B} \boldsymbol{A}=\mathbf{8} \boldsymbol{c m}, \boldsymbol{B} \boldsymbol{N}= \) \( \mathbf{1 0} c \boldsymbol{m}, \boldsymbol{N} \boldsymbol{V}=\mathbf{5} \boldsymbol{c m} \) and \( \boldsymbol{B} \boldsymbol{V}=\mathbf{1 1} \boldsymbol{c m} \) The relation between diag. \( A N \) and diag. \( \boldsymbol{B} \boldsymbol{V} \) is
- A. \( A N>B V \)
- B. \( A N<B V \)
- C. \( A N=B V \)
- D. None of the above
Step-by-step solution
By placing the quadrilateral in a coordinate system with BV on the x-axis, we computed coordinates of A and N from the given side lengths using the distance formula. The calculated length AN ≈ 2.78 cm, while BV = 11 cm, so AN < BV.
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