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heir ratio is 1/2 because the equevalent sides are k and k/2. This means their areas have a ratio of 1/4 (=1/2^2). Then consider tThen their ratio is 1/2 because the down side of one is half of that of the other (60-60-60 (since we kniw top rights ratio with blue). The 44k: first find k, for k it is true that k+k=4, so k=2. Then the area is 1/2*(4+4)*(2)*sin60°=4sqrt3. The top left: same thing, 4cm/8cm). This means that the left side of the blue triangle must be k/2. Then the blue triangle and the top part of the 60-60-60 triangle to Triangle formed by the 4cm side and the 60° angle on the left is similar to the triangle with side 8cm (because all angles are equal, the top is the same, two of 60° (the lines are parallel because they both have a 60° angle with the 4-4 straight line). This means that their ratio is 1/2 because the equevalent sides are k and k/2. This means their areas have a ratio of 1/4 (=1/2^2). Then consider the following: The and the other has to be or from the parallel lines). the right which is the triangle formed by k and the 60° angle are similar because they have two anlges equal the one where their tops touch and the one on the line that intersects the k line in the middle because of it being a line that goes through two parallel lines and the angles being to each side of it (the lines are parallel because they both have a 60° angle with the 4-4 straight line). This means that their ratio is 1/2 because the equevalent sides are k and k/2. This means their areas have a ratio of 1/4 (=1/2^2). Then consider the following: The area of the top triangle we talked about plus the area of the triangle with sides k, 4-4 plus the the left top is equal to the sum of the areas of the two 60-60-60 triangle plus the blue area. Now we only have to find the areas of the top left triangle, the 44k and the 60-60-60 (since we kniw top rights ratio with blue). The 44k: first find k, for k it is true that k+k=4, so k=2. Then the area is 1/2*(4+4)*(2
