Question

find the area of the triangle defined by E(-2,8) W(11,2) and S(-2,-4). Now find the area of the triangle WLS were L is (-2,0)

Answer 1

Answer:

area ΔWES = 78

area ΔWLS = 26

Step-by-step explanation:

Points E and S have the same x-coordinate, so it is convenient to look at the triangle with that side as base.

base = length of ES = y-coord of E  -  y-coord of S

= 8 - (-4) = 12

height = x-coord of W  -  x-coord of base ES

= 11 - (-2) = 13

Area = (1/2) × base × height

= (1/2) × 12 × 13

= 78

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For triangle WLS, this is just like for WES above since L and S have the same x-coordinate.

base = length of LS = 0 - (-4) = 4

height = x-coord of W  -  x-coord of base LS

= 11 - (-2) = 13

Area = (1/2) × base × height

= (1/2) × 4 × 13

= 26