Question

Find the area of the triangle defined by the coordinates (7, 1), (0, 10), and (9, 4). (To the nearest tenth)

Answer 1

Answer:

  C)  19.5 square units

Step-by-step explanation:

The area from coordinates can be computed as ...

  A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|

  = (1/2)|7(10 -4) +0(4 -1) +9(1-10)| = (1/2)|7·6 +9·(-9)|

  = (1/2)|-39| = 39/2 = 19.5

The area of the triangle is 19.5 square units.

Answer 2

Answer:

19.5

Step-by-step explanation:

Use the distance formula: d =  

(x2 - x1)2 + (y2 - y1)2

A =  

1

2

bh =  

1

2

(

13

)(3

13

) = 19.5