Math, asked by renukanupriya6, 1 year ago

Find the area of the triangle whose vertices are (1,2), (3,7), and(5,3)

Answers

Answered by Atharv11111111

By Heron's Formula ( assuming they have taught u this )

Area of a triangle =

$\sqrt{s \times (s - a) \times (s - b) \times (s - c)}$
Where,
s= a+b+c/2

Where ,
a,b,c are sides of the triangle

which you can find out using the distance formula as the three coordinates of the triangle are already given to you...
hope u got it...

Answered by arnavkelkar02

U just have to use the Ar of triangle formula in coordinate geometry
Which is given in the image

arnavkelkar02: Area of Triangle = 1/2(x1(y2−y3)+x2(y3−y1)+x3(y1−y2))

arnavkelkar02: Where x1=1. x2=3 x3=5. y1=2. y2=7 y3=3

Atharv11111111: so u haven't been taught Heron's Formula..?? because that's another way to do it yeah ..

arnavkelkar02: Heron’s formula is another way but by coordinate geometry it is much easier

Atharv11111111: yess agreed

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