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Volgvan
3 years ago
7

What is the area of a triangle whose vertices are R(-4,2),S(1,2), and T(-5,-4)

Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Answer:

The answer to your question is 30 u²

Step-by-step explanation:

Vertices

R(-4, 2)

S (1, 2)

T (-5, -4)

Find the area using matrices            X    Y

                                          R             -4     2

                                          S              1     2

                                          T             -5   -4

                                          R             -4    2

                                  =| (-4 x 2) + (1 x -4) + (-5 x 2) - [(-4 x -4) + (-5 x 2) + (1 x 2)]|

                                  = |-8 - 4 - 10 - [ 16 - 10 + 2]|

                                  = |-22 - [ 8]|

                                  = |-22 - 8|

                                  = |-30|

                                 = |-30|

Area =                          30 u²                                  

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