Question

What is the area of triangle ABC with vertices A(1, 2), B(5, 6), and C(7, 2)?

Q: Answer-What is the area of triangle ABC with vertices A(1, 2), B(5, 6), and C(7, 2)?

ATQ, Use the coordinate area formula Area 12 xy y xy y xy y. Let A1,2 x,y, B5,6 x,y, C7,2 x,y. Compute y y 6 2 4 y y 2 2 0 y y 2 6 4 xy y 1 4 4 xy y 5 0 0 xy y 7 4 28 Sum 4 0 28 24 Area 12 24 12 square units.

A 12

B 18

C 10

D 24

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What is the area of triangle ABC with vertices A(1, 2), B(5, 6), and C(7, 2)?

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