7th Class
Mathematics
The Triangle and its Properties
Question Bank
Triangles
question_answer
Two chimneys 18m and 13m high stand upright on a ground. If their feet are 12m apart, what is the distance between their tops?
A) \[5\,m\]
B) \[31\,m\]
C) \[13\,m\]
D) \[18\,m\]
Correct Answer:
C
Solution :
To find the distance between the tops of chimneys, we have to find AC. By Pythagoras' theorem,\[A{{C}^{2}}=A{{B}^{2}}+B{{C}^{2}}\] (Since \[\Delta ABC\] is a right triangle.) \[\Rightarrow \] \[A{{C}^{2}}={{5}^{2}}+{{12}^{2}}=169\] \[\Rightarrow \] \[AC=\sqrt{169}=13m\]