Segitiga Siku-Siku

MODEL 01

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\(\triangle \textbf{BDA} \sim \triangle \textbf{BAC}\)

\(\dfrac{\textbf{BD}}{\textbf{BA}} = \dfrac{\textbf{BA}}{\textbf{BC}}\)

\(\textbf{BA}^2 = \textbf{BD} \times \textbf{BC}\)

 

$$\bbox[yellow, 5px, border: 2px solid red] {\textbf{AB}^2 = \textbf{BD} \times \textbf{BC}}$$

MODEL 02

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\(\triangle \textbf{CDA} \sim \triangle \textbf{CAD}\)

\(\dfrac{\textbf{CD}}{\textbf{CA}} = \dfrac{\textbf{CA}}{\textbf{CB}}\)

\(\textbf{CA}^2 = \textbf{CD} \times \textbf{CB}\)

 

$$\bbox[yellow, 5px, border: 2px solid red] {\textbf{AC}^2 = \textbf{CD} \times \textbf{CB}}$$

MODEL 03

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\(\triangle \textbf{BDA} \sim \triangle \textbf{ADC}\)

\(\dfrac{\textbf{DA}}{\textbf{DC}} = \dfrac{\textbf{DB}}{\textbf{DA}}\)

\(\textbf{DA}^2 = \textbf{DB} \times \textbf{DC}\)

 

$$\bbox[yellow, 5px, border: 2px solid red] {\textbf{AD}^2 = \textbf{DB} \times \textbf{DC}}$$