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elena-s [515]
3 years ago
10

"A(4,5) and B (3,4)\\" align="absmiddle" class="latex-formula">Find distance betweentwo points A(4,5) and B (3,4)
Mathematics
1 answer:
Westkost [7]3 years ago
5 0

Answer:

<em>√</em><em>2</em>

Step-by-step explanation:

<em>given </em><em>points</em><em> </em><em>are,</em>

<em>A </em><em>=</em><em> </em><em>(</em><em>4</em><em>,</em><em>5</em><em>)</em>

<em>B </em><em>=</em><em> </em><em>(</em><em>3</em><em>,</em><em>4</em><em>)</em>

<em>we </em><em>know</em><em>,</em>

<em>D </em><em>=</em><em> </em><em>√</em><em>(</em><em>x_</em><em>2</em><em> </em><em>-</em><em> </em><em>x_</em><em>1</em><em>)</em><em>²</em><em> </em><em>+</em><em> </em><em>(</em><em>y_</em><em>2</em><em> </em><em>-</em><em> </em><em>y_</em><em>1</em><em>)</em><em>²</em>

<em>→</em><em> </em><em>√</em><em>(</em><em>3</em><em>-</em><em>4</em><em>)</em><em>²</em><em> </em><em>+</em><em> </em><em>(</em><em>4</em><em>-</em><em>5</em><em>)</em><em>²</em>

<em>→</em><em> </em><em>√</em><em>(</em><em>-</em><em>1</em><em>)</em><em>²</em><em> </em><em>+</em><em> </em><em>(</em><em>-</em><em>1</em><em>)</em><em>²</em>

<em>→</em><em> </em><em>√</em><em>1</em><em> </em><em>+</em><em> </em><em>1</em>

<em>→</em><em> </em><em>√</em><em>2</em><em> </em>

<em>therefore</em><em>,</em><em> </em><em>distance</em><em> </em><em>between</em><em> </em><em>A </em><em>and </em><em>B </em><em>is </em><em>√</em><em>2</em><em>.</em>

<em>hope </em><em>this</em><em> answer</em><em> helps</em><em> you</em><em> dear</em><em>.</em><em>.</em><em>.</em><em>take </em><em>care </em><em>and </em><em>may </em><em>u </em><em>have </em><em>a </em><em>great</em><em> </em><em>day </em><em>ahead</em><em>!</em>

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