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1 vote
Look at triangle ABC

A (4.5)
5
4
3
2
1
B (2.2)
C (4.2)
1
5 -4 -3 -2 -1 0
1
23
4
5
-1
N
-3
-4
5
What is the length of side AB of the triangle?

A) 3
B) 5
C) square root of 6
D) square root of 13

Look at triangle ABC A (4.5) 5 4 3 2 1 B (2.2) C (4.2) 1 5 -4 -3 -2 -1 0 1 23 4 5 -1 N-example-1
User Denziloe
by
7.4k points

1 Answer

4 votes

Answer:


√(13)

Option D is the correct option.

Explanation:

Given,

A ( 4, 5 ) , B ( 2 , 2 ) , C ( 4 , 2 )

Let,

A ( 4 , 5 ) → ( x1 , y1 )

B ( 2 , 2 ) → ( x2 , y2 )

Now, finding the length of AB

Use the distance formula to find the length of AB


= \sqrt{ {(x2 - x1)}^(2) + {(y2 - y1)}^(2) }

plug the values


= \sqrt{ {(2 - 4)}^(2) + {(2 - 5)}^(2) }

Calculate the difference


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

Evaluate the power


= √(4 + 9)

Add the numbers


= √(13)

Hope this helps..

Best regards!!

User Nisha Dave
by
8.9k points

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