ANSWERS: 2
  • Area (of a triangle) = 1/2 base * height. Explain it? OK, think of having a square piece of paper. Say it's 4" on each side, or 16 sq. in. in area. Now imagine folding that piece of paper on the diagonal. You have a triangle. The base is 4" and so is the height. So the area is 8 sq in, which you intuitively know since you folded the paper diagonally (in half).
  • Area of a triangle = half the base times the height. If the apex of the triangle is above the base, draw a rectangle sitting on the base which just encloses the triangle touching the apex. Draw a vertical line from the apex dividing the triangle in two. The rectangle has area base times height. The area of the left side of the triangle is half the rectangle on the left. The area of the right side of the triangle is half the rectangle on the right. The area of the whole triangle must be half the area of the large rectangle. If the apex is not above the base, then you can do a similar sum, but with a subtraction instead of addition.

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