Math, asked by bhoomigupta309, 8 months ago

Question.7 of short answers...
anvesha..tum kis school me ho or tumhra surname kya hai??

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Answers

Answered by punit2508
1

Answer:

Step-by-step explanation:

A=(2,-2)

B = (-2,1)

C = (5,2)

Using distance formula, finding the distance AB

\orange { = \sqrt{(x_{2}-x_{1})^{2} + (y_{2} - y_{1})^{2}}}

= \sqrt{(-2-2)^{2} + [1 - (-2]^{2}}

= \sqrt{(-4)^{2} + 3^{2}}

= \sqrt{ 16 + 9 }

= \sqrt{25}=5

Using distance formula, finding the distance BC

= \sqrt{[5-(-2)]^{2} + (2- 1)^{2}}

= \sqrt{7^{2} + 1^{2}}

= \sqrt{ 49 + 1 }

= \sqrt{50}

=5\sqrt{2}

Using distance formula, finding the distance AC

= \sqrt{3^{2} + 4^{2}}

= \sqrt{ 9 + 16 }

= \sqrt{25}

=5

AB^{2} = 25

BC^{2} = 50

CA^{2} = 25

BC^{2} = AB^{2} + CA^{2}    [Hence ABC is a right angles triangle]

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