Answer:
Step-by-step explanation:
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Refer to the attached image. Since one vertex is the origin and the other two lay on the coordinate axes, the triangle is a right triangle. This means that, if we consider AB to the be base, AC is his height, and vice versa.
Anyway, it means that the area is given by
Since AB is a horizontal segment and AC is a vertical segment, their length is given by the absolute difference of the non-constant coordinate: points A and B share the same x coordinate, so we subtract the y coordinates:
The opposite goes for AC: points A and C share the same y coordinate, so we subtract the x coordinates:
So, the area is
Answer:
16.4 feet
Step-by-step explanation:
For a right triangle
Since we know the angle and the hypotenuse, we can calculate the opposite side.
Multiply each side by 18
Calculate sin(66)
16.4 Feet
Answer:
110°
Step-by-step explanation:
The consecutive interior angles theorem states that when two parallel lines are cut by a transversal, the pair of angles formed which lie inside the parallel lines on the same side of the transversal are known as consecutive interior angles. This consecutive interior angles are supplementary (that is add up to 180°).
Therefore:
∠4 and ∠6 are consecutive interior angles. Hence:
∠4 + ∠6 = 180° (sum of co-interior angles)
∠4 + 70 = 180
∠4 = 180 - 70
∠4 = 110°
