Tag: criteria for triangle similarity
Questions Related to criteria for triangle similarity
In $\triangle A B C$, D is a point on AB such that $A D = \frac { 1 } { 4 } A B$ and E is a point on AC such that $A E = \frac { 1 } { 4 } A C$ then $D E = \frac { 1 } { 8 } B C$
State true or false:
$\displaystyle \Delta APB$ is similar to $\displaystyle \Delta CPD.$
State true or false:
$ O $ is mid-point of $ AP $.
State true or false:
$ BP= 2AD $
In quadrilateral ABCD, the diagonals AC and BD intersect each at point O. If $AO=2CO$ and $BO=2DO$; Then,
$\displaystyle \Delta AOB$ is similar to $\displaystyle \Delta COD$
$\angle BAC$ of triangle $ABC$ is obtuse and $AB=AC$. $P$ is a point in $BC$ such that $PC= 12$ cm. $ PQ $ and $PR$ are perpendiculars to sides $AB$ and $AC$ respectively. If $PQ= 15$ cm and $=9$ cm; find the length of $PB$.
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