The area of a triangle cannot be 270 cm because area is a 2-dimensional measure and so must be measured in square centimetres. Assuming it is 270 cm2,
Area = 0.5*Base*Height
270 = 0.5*27*H so H = 20 cm.
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Area of a triangle: 0.5*base*perpendicular height
The area of triangle is : 60.0
You can cut the tapered ends off of the trapezoid, and calculate the individual areas of the three pieces. The center piece is a rectangle, Length = 27, Height = H. Area = 27H. Each end is a triangle, Base = 2, Height = H. Area = (1/2 base) times (height) = 1H (Left-end triangle) + (center rectangle) + (right-end triangle) = 1H + 27H + 1H = 29H. 29H = 348 cm2 H = 348/29 = 12 cm
It is impossible to find the area of a triangle with no height, if the triangle had no height it would not even be a triangle, just a angle.