Question

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Answer 1

Answer:

The area of the triangle is 28 square units

Step-by-step explanation:

First we have to calculate the length of the base of the triangle and the length of the height

To calculate the base we have to subtract point (-1 , 2) from point (7 , 2)

(7 , 2) - (-1 , 2)  = ((7 - (-1)) , (2 - 2)) = (8 , 0)

because it has no component in y this means that the length of the base is 8

b = 8

To calculate the height we have to subtract point (-1 , 2) from point (-1 , 9)

(-1 , 9) - (-1 , 2) = (((-1) - (-1)) , (9 - 2)) = (0 , 7)

because it has no component in x this means that the length of the base is 7

h = 7

To calculate the area of ​​a triangle we have to multiply the base by the height and then divide it by 2

a = (b * h)/2

a = (8 * 7)/2

a = 56/2

a = 28

The area of the triangle is 28 square units