Similarity, SMB-024

Prove that the two triangles in the right cone pictured below are similar. (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

Show Answers Only

\(\text{Proof (See Worked Solution)}\)

Show Worked Solution

\(\angle ACD \ \text{is common to}\ \Delta ACE\ \text{and}\ \Delta BCD \)

\(\angle CAE=\angle CBD=90^\circ \ \text{(Right cone)} \)

\(\therefore \Delta ACE\ \text{|||}\ \Delta BCD\ \ \text{(equiangular)}\)