calcule a distancia entre os pontos sendo R (3a, -a) e S (2a,a), com a >0
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Use a fórmula:
![d_{RS}=\sqrt{(x_S-x_R)^2+(y_S-y_R)^2}\\
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d_{RS}=\sqrt{(2a-3a)^2+(a-(-a))^2}=\sqrt{a^2+4a^2}=\sqrt{5a^2}=a\sqrt5 d_{RS}=\sqrt{(x_S-x_R)^2+(y_S-y_R)^2}\\
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d_{RS}=\sqrt{(2a-3a)^2+(a-(-a))^2}=\sqrt{a^2+4a^2}=\sqrt{5a^2}=a\sqrt5](https://tex.z-dn.net/?f=d_%7BRS%7D%3D%5Csqrt%7B%28x_S-x_R%29%5E2%2B%28y_S-y_R%29%5E2%7D%5C%5C%0A%5C%5C%0Ad_%7BRS%7D%3D%5Csqrt%7B%282a-3a%29%5E2%2B%28a-%28-a%29%29%5E2%7D%3D%5Csqrt%7Ba%5E2%2B4a%5E2%7D%3D%5Csqrt%7B5a%5E2%7D%3Da%5Csqrt5)
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