Question

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Find the area of the triangle whose vertices are (−6,3), (5,3) and (8,7).

Answer 1

Find the area of the triangle whose vertices are (−6,3), (5,3) and (8,7).

The Answer is 22.

Answer 2

Answer:

• Area of the triangle is 22 units²

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Given

• Triangle with vertices  (−6,3), (5,3) and (8,7)

Two of the vertices are on horizontal line with same y-coordinate of 3.

These two vertices form the base of the triangle which is:

• b = 5 - (-6) = 11 units long

The height is the difference of the y-coordinates of the third vertex with the first two:

• h = 7 - 3 = 4

Find the area

• A = bh/2
• A = 11*4/2 = 22 units²