Co Ordinate Geometry

[mild gazelle]

1. Wait patiently for a helper to come along.
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[golden kindle]

I cant figure out how to figure this out

I got the perimeter down

I dont understand ii

and for area I just counted base x height XD

do I have a more mathematical way to approach that?

[tropic stirrup]

(i) you can use Euclidean distance
to find each of the 3 sides, then
sum them up to get the perimeter,
and use Heron's formula to get
the area
(ii) AB is a horizontal line, hence
the length is just:
6-(-2) = 8

[golden kindle]

whats the Heron's formula

[golden kindle]

ii = 9.6

[tropic stirrup]

sqrt(s(s-a)(s-b)(s-c))
a,b,c = length of sides
s = half perimeter = (a+b+c)/2

[tropic stirrup]

oh wait mb I thought it's C to AB

[golden kindle]

nooo heheh

A to BC means the line goes AB and AC? or

[tropic stirrup]

you can use:
(1/2)×BC×height = area
height = ...

[golden kindle]

whats BC?

[tropic stirrup]

no, the perpendicular line from point A to line BC

[golden kindle]

huh? Im sorry im kinda light headed. but mostly dumb

[tropic stirrup]

you can use Euclidean distance to find it's length

[tropic stirrup]

.

[golden kindle]

I know the perimeter and each of the sides

I am really confused with ii

[tropic stirrup]

basically you're asked to find the height of the triangle, but the one from point A to side BC

cuz there are 3 heights right

[golden kindle]

ohhh hmmmm

[golden kindle]

like this ?

[tropic stirrup]

yes

[golden kindle]

ohhhh so for this I need to calculate M for BC and then use M to calculate length of A... correct?

+close