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Triangles. Look at the triangle below: If you multiply the base by the perpendicular height, you get the area of a rectangle. The area of the triangle is half the area of the rectangle.. So, to ...

For triangles labeled as in Figure 3, with angles α, β, α, β, and γ, γ, and opposite corresponding sides a, b, a, b, and c, c, respectively, the Law of Cosines is given as three equations. a 2 = b 2 + c 2 − 2 b c cos α b 2 = a 2 + c 2 − 2 a c cos β c 2 = a 2 + b 2 − 2 a b cos γ a 2 = b 2 + c 2 − 2 b c cos α b 2 = a 2 + c 2 ...

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We can easily find the area of a parallelogram, given its base b and its height h. In the diagram below, we draw in the diagonal BD and divide the figure into two triangles, each with base length b and height h. Since the area of each triangle is bh the total area A is given by . A = bh.

6x4 Rectangle. Your task is to dissect pictures to rearange the pieces into new shapes in the following brain puzzles. Slice the picture into 2 sections from which you could make a rectangle 6x4 squares.

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Let us say that the smallest of the square is of 1 unit side. We have 6 such squares. Now moving up, if we see the squares with side 2 units, we have 8 of them. Similarly we have 2 squares with side 3 units and 1 square with side 4 units. 6 + 8 + 2 + 1 = 17 squares.

Given that the blue triangle is a right triangle, which expression correctly gives the area of the YELLOW square? A) a2 + b2 B) a2 - b2 C) c2 + b2 D) c2 - a2 Explanation: The solution is a2 + b2. Use the Pythagorean Theorem. 5) Find the length of the segment with endpoints of (3,2) and (-3,-6). A) 100 B) 10 C) 4 D) (28) ≈ 5.29 Explanation ...