Prove that an equilateral triangle can be constructed on any given line segment
1 answer:
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If you notice the tickmarks, that means all slanted sides are of length 2.5
now, a triangular prism, is just two triangles and three rectangles stacked up to each other, check the picture below, like so. So to get the area of it, simply get the area of the rectangles and the triangles.
now, notice, the triangles have a base of 4 and an altitude/height of 1.5.
the rectangles on the left and right sides are just 2.5 x 6 each.
and the rectangle at the base of the prism, is a 4 x 6.
thus, the area of the triangular prism is just
now, a triangular prism, is just two triangles and three rectangles stacked up to each other, check the picture below, like so. So to get the area of it, simply get the area of the rectangles and the triangles.
now, notice, the triangles have a base of 4 and an altitude/height of 1.5.
the rectangles on the left and right sides are just 2.5 x 6 each.
and the rectangle at the base of the prism, is a 4 x 6.
thus, the area of the triangular prism is just
Answer:
The point (0, 25) is not a solution, but the point (-4, 10) is a solution.
Step-by-step explanation:
You can graph the inequality and check. The first point (0, 25) is on the boundary line, but that line is NOT part of the solution set. The second point (-4, 10) is well inside the solution space.
(0, 25) is not a solution
(-4, 10) is a solution
_____
You can put the values into the inequality and see if a true statement results.
-10(0) +(25) > 25 . . . . False
-10(-4) +(10) > 25 . . . . true
The first point is NOT a solution; the second point IS a solution.
