kapitts01
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

a(0,4)b(2,2) and c(-2,-1) Which expression represents the perimeter of the triangle​

A04b22 And C21 Which Expression Represents The Perimeter Of The Triangle class=

Sagot :

devishri1977

Answer:

Option B

Step-by-step explanation:

[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

A(0,4) & B(2,2)

[tex]AB =\sqrt{(2-0)^{2}+(2-4)^{2}}\\\\=\sqrt{2^{2}+(-2)^{2}}\\\\=\sqrt{4+4}\\\\=\sqrt{8}\\\\=\sqrt{2*2*2}\\\\=2\sqrt{2}\\[/tex]

B(2,2)  & C(-2,-1)

[tex]BC =\sqrt{(-2-2)^{2}+(-1-2)^{2}}\\\\=\sqrt{(-4)^{2}+(-3)^{2}}\\\\=\sqrt{16+9}\\\\=\sqrt{25}\\\\=\sqrt{5*5}\\\\=5[/tex]

A(0,4) ; C(-2,-1)

[tex]AC=\sqrt{(-2-0)^{2}+(-1-4)^{2}}\\\\=\sqrt{(-2)^{2}+(-5)^{2}}\\\\=\sqrt{4+25}\\\\= \sqrt{29}[/tex]

Perimeter of triangle = AB + BC + AC

                                  [tex]= 5 +2\sqrt{2}+\sqrt{29}[/tex]

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.