Math, asked by sanjana3719, 2 days ago

if A (4,1),B(-2,3)and c(0,5)and vertices of triangle abc and ad is its median
length of AB is​

Answers

Answered by MrMonarque
2

Hello,Buddy!!

Given:-

  • In ∆ABC, the vertices are A(4,1), B(-2,3) & C(0,5).
  • AD is the median of the ∆ABC.

To Find:-

  • Length of AB.

Required Solution:-

 \sqrt{ {( - 2 - 4)}^{2} +  {(3 - 1)}^{2}  }  \\  \sqrt{ {( - 6)}^{2}  +  {(2)}^{2} }  \\  \sqrt{36 + 4}  \\  \sqrt{40}  \\  \sqft{(4 \times 10)}  \\  \sqrt{4}  \times  \sqrt{10}  \\ 2 \sqrt{10}

  • Length of AB ➪ 210units.

Formulas Used:-

  • Distance between two sides ☞ (x2-x1)²+(y2-y1)²

@MrMonarque

Hope It Helps You ✌️

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