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13 Nov 2019
Suppose a triangle is drawn whose vertices are at the points (-a, 0), (0, b) and (c, 0) where a, b and c are positive. A rectangle is inscribed in the triangle with one of its sides lying along the x-axis.
Give a specific example of any such triangle and rectangle. What are their areas?
What is the largest possible area of such a rectangle? Express your answer in terms of the values a, b and c. How does this answer relate to the area of the triangle?
Suppose a triangle is drawn whose vertices are at the points (-a, 0), (0, b) and (c, 0) where a, b and c are positive. A rectangle is inscribed in the triangle with one of its sides lying along the x-axis.
Give a specific example of any such triangle and rectangle. What are their areas?
What is the largest possible area of such a rectangle? Express your answer in terms of the values a, b and c. How does this answer relate to the area of the triangle?
Sixta KovacekLv2
12 Mar 2019
