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Sagot :
Answer: [tex]\large \boldsymbol {\sf 2\sqrt{13} \approx7,2}[/tex]
Step-by-step explanation:
- Find the distance between points A and B by the formula:
- [tex]\large \boldsymbol {\sf D=\sqrt{(x_1-x_2)^2+(y_1+y_2)^2} }[/tex]
- [tex]\large \boldsymbol{} \sf D=\sqrt{(2-12)^2+(-10-5)^2} =\sqrt{100+225} =\boldsymbol {\sqrt{325}=5\sqrt{13} }[/tex]
- By the condition we are told to find 2/5 the distance between points A and B
- [tex]\sf \large \boldsymbol {} \dfrac{2}{5} \cdot D=5\sqrt{13} \cdot \dfrac{2}{5} =\boxed{\sf 2\sqrt{13}}[/tex]
- We can also find the distance between them through the Pythagorean theorem we will complete a right triangle
- AB²=AC²+BC²
- AB=√AC²+BC²
- Where AC=10 ; BC=15
- AB=[tex]\boldsymbol {\sf \sqrt{15^2+10^2}=\sqrt{325}=5\sqrt{13} }[/tex]
- Then 2/5* AB=2[tex]\sqrt{13}[/tex]
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