What is the relationship between the area of rectangle ABCD and the area of ΔABC?
A.) The triangle has an area that is half the area of the rectangle.
B.) The triangle has an area that is double the area of the rectangle.
C.) The triangle has an area that is equal to the area of the rectangle.
D.) There is not enough information given to determine a relationship.
2007-12-29 04:13:43 · 5 answers · asked by liyah6 1 in Science & Mathematics ➔ Mathematics
If you draw a rectangle ABCD (any dimensions) and then draw a diagonal from A to C, you should see quickly that the area of triangle ABC is exactly half the total area. This same rule also works with parallelograms (including the special ones: squares and rhombi).
2007-12-29 04:19:42 · answer #1 · answered by TitoBob 7 · 6⤊ 0⤋
The answer is A. If you draw a triangle, and label the angles with A, B, C, and D, and then make a line connecting them, you will have a line that separates the rectangle in half diagonally. Half on the rectangle means half of the area of the rectangle.
2007-12-29 04:25:21 · answer #2 · answered by I love horses 3 · 1⤊ 0⤋
If ABCD are the same points of reference for the rectangle and also the triangle then answer A) is true. If there is no correlation then answer D)
2007-12-29 04:20:35 · answer #3 · answered by Anonymous · 1⤊ 0⤋
Assuming that the sides AB are the same on the rectangle and the Triangle then (A) is correct. C would not be the same.
2007-12-29 04:23:17 · answer #4 · answered by Bernie R 5 · 0⤊ 0⤋
rectangle ABCD: A=(AB)x(BC)=(AB)*2
triangle ΔABC: A=[(CB)x(AM)]/2
=[(AB) x [radical3 x (AB)]/2] ]/2
M is the middle spot of (CB) and you use the pythagorean theorem to find (AM)
If you compare the two areas, rectangle has bigger
(I though the shapes to have the same range)
2007-12-29 04:29:07 · answer #5 · answered by soupia 3 · 0⤊ 1⤋