10th Class
Mathematics
Triangles
Question Bank
Triangles
question_answer
Two triangles BAC and BDC, right angled at A and D respectively, are drawn on the same base BC and on the same side of BC. If AC and DB intersect at P, which of the following statements is true?
A) \[AP\times PC=DP\times PB\]
B) \[\frac{AP}{PC}=\frac{DP}{PB}\]
C) \[AP\times PB=DP\times PC\]
D) Both [b] and [c]
Correct Answer:
A
Solution :
According to the given problem, \[\therefore \] \['x'\]\[\frac{32}{24}=\frac{12}{x}\] \[\Rightarrow \]\[x=9\,cm\]