103
Two right triangles $PRQ$ and $PSQ$ are drawn on the same hypotenuse
n$PQ$. If $PR$ and $QS$ intersect at $T$, prove that $ST \times TQ = PT \times TR$.
n$PQ$. If $PR$ and $QS$ intersect at $T$, prove that $ST \times TQ = PT \times TR$.
Show SolutionHide Solution↓
$\triangle STP \sim \triangle RTQ$ (1 Mark)
$\frac{ST}{TP} = \frac{RT}{TQ} \Rightarrow ST \times TQ = PT \times TR$ (1 Mark)
$\frac{ST}{TP} = \frac{RT}{TQ} \Rightarrow ST \times TQ = PT \times TR$ (1 Mark)