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Llana [10]
3 years ago
14

Triangle ABC has A(-3,6),B(2,1), and C(9,5) what the length of side AB? What the length BC what the length AC and what ABC

Mathematics
1 answer:
vovikov84 [41]3 years ago
8 0

Answer:

<em>AB = 5√2</em>

<em>AC = √145</em>

<em>BC = √65</em>

Step-by-step explanation:

Using the formula for calculating the distance between two points

D = √(x2-x1)²+(y2-y1)²

For AB A(-3,6),B(2,1),

AB = √(2+3)²+(1-6)²

AB = √(5)²+(-5)²

AB = √25+25

AB =  √50

<em>AB = 5√2</em>

For AC A(-3,6) and C(9,5)

AC = √(9+3)²+(5-6)²

AC = √(12)²+(-1)²

AC = √144+1

<em>AC = √145</em>

For BC B(2,1), and C(9,5)

BC = √(9-2)²+(5-1)²

BC = √(7)²+(4)²

BC = √49+16

<em>BC = √65</em>

<em></em>

<em>Since All the sides are difference, hence triangle ABC is a scalene triangle</em>

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