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Magazine Problem 452
Find the area of an equilateral triangle whose perimeter is 24 .
Problem 453
Find the length of a side of an equilateral triangle whose area is \(4 \sqrt{3}\).
Problem 461
Show that the ratio of the areas of two similar triangles equals the square of their ratio of similitude.
Problem 462
If two triangles have congruent bases, then the ratio of their areas equals the ratio of the lengths of their altitudes.
Problem 465
The areas of two similar triangles are in the ratio of \(4: 1\). The length of a side of the smaller triangle is \(5 .\) Find the length of the corresponding side in the larger triangle.
Problem 475
Find the altitude AF of a rhombus if the lengths of the diagonals are 10 and 24 .
Problem 482
The wall at one end of an attic takes on the shape of a trapezoid because of a slanted ceiling. The wall is 8 feet high at one end, 10 feet wide, and only 3 feet high at the other end. What is the wall's area?
