Question

Geometry! Please help! What is the area of this triangle?

Please answer to both pictures


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Answer 1

In both cases, the area of the triangle can be computed from the formula
A = (1/2)bh
where b is the length of the base, and h is the height perpendicular to the base.

1. It is convenient to use DE as the base. Its length is 4-1 = 3. Then the height is the distance from F to DE, which is 1-(-3) = 4. By the formula, the area is
A = (1/2)(3)(4) = 6

2. It is convenient to use LK for the base. Its length is 4-0 = 4. Then the height is the distance from J to the line y=-5, which is -1-(-5) = 4. By the formula, the area is
A = (1/2)(4)(4) = 8