- #1
ohlhauc1
- 27
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I have two questions that I need help with. I desperately need help with them. They are:
1. The coordinates of points P and Q are (1,2) and (2,-3) respectively, and R is a point on the line x=-1. Find the coordinates of R so that PR + RQ is a minimum.
2. An isoceles triangle has a base of 6m and a height of 4m with a rectangle in it that touches all three sides so that there is a rectangle, triangle on top, and two triangles on the sides. (Sorry for the description, but I couldn't put the image here).
a) Find the maximum area and dimensions of the rectangle within the triangle.
b) Repeat part a) for a rectangle inside a isoceles triangle with a base of 4m and a height of 12m.
c) Compare the dimensions of the base and height of each isosceles triagnle with the dimensions of each rectangle found in parts a) and b). What do you notice?
1. The coordinates of points P and Q are (1,2) and (2,-3) respectively, and R is a point on the line x=-1. Find the coordinates of R so that PR + RQ is a minimum.
2. An isoceles triangle has a base of 6m and a height of 4m with a rectangle in it that touches all three sides so that there is a rectangle, triangle on top, and two triangles on the sides. (Sorry for the description, but I couldn't put the image here).
a) Find the maximum area and dimensions of the rectangle within the triangle.
b) Repeat part a) for a rectangle inside a isoceles triangle with a base of 4m and a height of 12m.
c) Compare the dimensions of the base and height of each isosceles triagnle with the dimensions of each rectangle found in parts a) and b). What do you notice?