Marsha and her study partner, John, enjoy problem solving. They even challenge each other on occasion to solve problems that they themselves create.
One day, Marsha shows her friend a new problem she has just prepared, saying, "I'll bet you can't solve this little beauty."
John responds by singing a line from a famous Broadway show tune, "Anything you can do, I can do better!" He takes the paper she offers and reads these words.
A point (c,d) lies in the first quadrant. A line passing through (c,d) hits the positive y axis at P and the positive x axis at Q. If point O = (0,0), find the area of triangle POQ in terms of "c" and "d".
After drawing a simple sketch, John begins to frown. He looks worried that maybe he can't solve it after all. He says, "Gee, there seems to be something missing here."
Marsha glances at the paper and says, "Oh, you're so right. That was my first draft. There I had left out the important fact that triangle POQ is an isosceles one. I have that on this other paper."
With that new fact to use, John promptly provides an answer that satisfies Marsha. Write what John might have written for his solution.
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Ok, having quite a few problems with this. I figured that we must use a graph, and the problem involves an isosceles triangle. and in POQ 'O' is the vertex(i hope....?)
but other than that...I'm totally lost.
One day, Marsha shows her friend a new problem she has just prepared, saying, "I'll bet you can't solve this little beauty."
John responds by singing a line from a famous Broadway show tune, "Anything you can do, I can do better!" He takes the paper she offers and reads these words.
A point (c,d) lies in the first quadrant. A line passing through (c,d) hits the positive y axis at P and the positive x axis at Q. If point O = (0,0), find the area of triangle POQ in terms of "c" and "d".
After drawing a simple sketch, John begins to frown. He looks worried that maybe he can't solve it after all. He says, "Gee, there seems to be something missing here."
Marsha glances at the paper and says, "Oh, you're so right. That was my first draft. There I had left out the important fact that triangle POQ is an isosceles one. I have that on this other paper."
With that new fact to use, John promptly provides an answer that satisfies Marsha. Write what John might have written for his solution.
----
Ok, having quite a few problems with this. I figured that we must use a graph, and the problem involves an isosceles triangle. and in POQ 'O' is the vertex(i hope....?)
but other than that...I'm totally lost.