With the information given it can be any height greater than zero units.
If the area was given, or the lengths of the equal sides were given, then the height can be calculated specifically.
The average(mean) of the two bases. (8+12)/2=10
Use Pythagoras to find the lengths of the sides: 42+12 = 17 and the square root of this is the length of the sides which works out at about 4.123105626 Perimeter: 2*4.123105626+10+12 = 30.24621125 inches
the formula for the area of a trapezoid is one half the sum of its bases times the height. So, A = .5(b1+b2)h = .5(18+12)4 = 60 meters2
You can deduce that its height is 3, since the perpendiculars dropped from the shorter base create a central rectangle and two identical, right, isosceles triangle with base and height 3.3(9+15)/2=36We know the piece of the base is 3 because we subtract 9 (top base) from 15 (bottom base) and that gives us 6, then divide that in half because there are 2 triangles, so we get 3this only works for isosceles trapezoidsThen because the triangles on the sides are isosceles, the length of their bases is the same so if the horizontal base is 3, then the vertical base is also 3, which is the height of the trapezoidArea = average of bases times heightArea = (base 1 + base 2)/2 x heightArea = (15 + 9)/2 x 3Area = 24/2 x 3Area = 12 x 3 = 36
Isosceles trapezoid ABCD has an area of 276 If AD = 13 inches and DE = 12 inches, find AB.
The average(mean) of the two bases. (8+12)/2=10
Use Pythagoras to find the lengths of the sides: 42+12 = 17 and the square root of this is the length of the sides which works out at about 4.123105626 Perimeter: 2*4.123105626+10+12 = 30.24621125 inches
the formula for the area of a trapezoid is one half the sum of its bases times the height. So, A = .5(b1+b2)h = .5(18+12)4 = 60 meters2
We cannot determine the height of a trapezoid with just the lengths of the bases. Additional information such as the length of the parallel sides or any angles would be needed to calculate the height accurately.
If you draw another altitude parallel to the height (the side which is perpendicular to the bases) of the trapezoid, you can see that a right triangle is formed.In this triangle the hypotenuse length is 17 in, and the base length equals to 28 - 16 = 12 in. From the Pythagorean theorem, height length = √(17 - 12) ≈ 12 in.Or find the measure of the angle (call it A) opposite to the height such as:cos A = 12/17A = cos-1 (12/17) ≈ 45⁰, which tells us that this right triangle is an isosceles triangle.Therefore, the height is (congruent with base) 12 inches long
Area = 1/2*(14+12)*8 = 104 square cm
1/2*(12+8)*5 = 50 square cm
x (height) = 12 units. area_trapezoid = ½ × sum_of_bases × height → height = 2 × area_trapezoid ÷ sum_of_bases → height = 2 × 150 ÷ (8 + 17) = 12 units
The formula to calculate the area of a trapezoid is (1/2) * sum of the bases * height. Given that the height is 12 cm and the bases are 15 cm and another side, the area can be calculated as (1/2) * (15 + b) * 12, where b is the length of the other base.
You can deduce that its height is 3, since the perpendiculars dropped from the shorter base create a central rectangle and two identical, right, isosceles triangle with base and height 3.3(9+15)/2=36We know the piece of the base is 3 because we subtract 9 (top base) from 15 (bottom base) and that gives us 6, then divide that in half because there are 2 triangles, so we get 3this only works for isosceles trapezoidsThen because the triangles on the sides are isosceles, the length of their bases is the same so if the horizontal base is 3, then the vertical base is also 3, which is the height of the trapezoidArea = average of bases times heightArea = (base 1 + base 2)/2 x heightArea = (15 + 9)/2 x 3Area = 24/2 x 3Area = 12 x 3 = 36
Area of a trapezoid = 0.5*( sum of parallel sides)*height
Area = 0.5*(15+7)*12 = 132 square feet