The area of the triangle below is 2/5 square foot. What is the length, in feet, of the base of the triangle? Area = bh/2
1 answer:
Answer:
2/3 feet.
Step-by-step explanation:
We have to calculate the length of the base of the triangle, in this case they give us the area of the triangle but still it is necessary to know the height of the triangle to calculate the length of the base, otherwise it would be impossible.
I have found an image where the graph is, which I will attach where you can see that the height is 6/5 ft. The area of the triangle is:
A = b * h / 2
solved for b which is the length of the base of the triangle would be:
b = 2 * A / h
replacing:
b = 2 * (2/5) / (6/5)
b = 20/30
b = 2/3
Which means that the length of the base of that triangle is 2/3 feet.
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"determine the location" or namely, is it inside the circle, outside the circle, or right ON the circle?
well, we know the center is at (1,-5) and it has a radius of 5, so the distance from the center to any point on the circle will just be 5, now if (4,-1) is less than that away, is inside, if more than that is outiside and if it's exactly 5 is right ON the circle.
well, we can check by simply getting the distance from the center to the point (4,-1).