Question

Aflati lungimile segmentelor AB,AC,AD in triunghiul dreptunghic ABC, daca BD=5cm,BC=8cm

Answer 1

$\it CD=BC-BD=8-5=3cm\\ \\ T. catetei \Rightarrow\begin{cases}\it AB^2=BC\cdot BD=8\cdot5=40\Rightarrow AB=\sqrt{40}=\sqrt{4\cdot10}=2\sqrt10\\ \\ \it AC^2=BC\cdot CD=8\cdot3=24\Rightarrow AC=\sqrt{24}=\sqrt{4\cdot6}=2\sqrt6}\end{cases}$

$\it T.\ \^{i}n\breve{a}l\c{\it t}imii \Rightarrow AD^2=BD\cdot CD =5\cdot3=15\Rightarrow AD=\sqrt{15}\ cm$