Trapezium bases

Find the trapezium height if a = 8 cm and c = 4 cm if its content 21 square centimeters.

Correct answer:

h =  3.5 cm

Step-by-step explanation:

a=8 c=4 S=21 S=(a+c)h/2 h=2 S/(a+c)=2 21/(8+4)=3.5 cm

Did you find an error or inaccuracy? Feel free to write us. Thank you!


We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

  • Rectangular trapezium
    trapezoid-right Calculate the perimeter of a rectangular trapezium when its content area is 576 cm2 and sice a (base) is 30 cm, height 24 cm.
  • R Trapezium
    Trapezium_example Rectangular trapezium has bases 21 and 10 and area 92 cm2. What is its perimeter?
  • Trapezium
    trapezium The area of trapezium is 35 cm2. Find its altitude if the bases are 6cm and 8 cm.
  • A trapezoid 3
    trapezium A trapezoid ABCD has the bases length of a = 120 mm, c = 86 mm and the area A = 2,575 mm2. Find the height of the trapezoid.
  • Hypotenuse
    RightTriangleMidpoint Calculate the length of the hypotenuse of a right triangle if the length of one leg is 4 cm and its content area is 16 square centimeters.
  • Isosceles trapezoid
    rr_lichobeznik Find the area of an isosceles trapezoid, if the bases are 12 cm and 20 cm, the length of the arm is 16 cm
  • Trapezium 2
    trapezium Trapezium has an area of 24 square cms. How many different trapeziums can be formed ?
  • ISO trapezoid v2
    lichobeznik bases of Isosceles trapezoid measured 20 cm and 4 cm and its perimeter is 55 cm. What is the are of a trapezoid?
  • Trapezoid
    lichob_2 How long are the trapezoid bases with area 24 cm2 and height 3 cm. One base is 3 times longer than the shorter.
  • Ratio in trapezium
    lichobeznik The height v and the base a, c in the trapezoid ABCD are in the ratio 1: 6: 3, its content S = 324 square cm. Peak angle B = 35 degrees. Determine the perimeter of the trapezoid
  • Dimensions of the trapezoid
    lichobeznik One of the bases of the trapezoid is one-fifth larger than its height, the second base is 1 cm larger than its height. Find the dimensions of the trapezoid if its area is 115 cm2
  • Semicircle
    ornament The ornament consists of one square and four dark semicircles. The area of the square is 4 cm ^ 2. Find the area of one dark semicircle and round the result to hundreds.
  • IS trapezoid
    trapezoid_ABCD Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm.
  • Four circles
    circles 1) Calculate the circle radius if its area is 400 cm square 2) Calculate the radius of the circle whose circumference is 400 cm. 3) Calculate circle circumference if its area is 400 cm square 4) Calculate the circle's area if perimeter 400 cm.
  • Trapezoid MO-5-Z8
    lichobeznik-stredni_pricka Trapezoid KLMN has bases 12 and 4 cm long. The area of triangle KMN is 9 cm2. What is the area of the trapezoid KLMN?
  • Trapezium
    lichobeznik The length of the base and the height size of the base of the trapezium is at ratio 5:3:2, the content area of the trapezium is 128 cm2. Calculate the length of the base and the height of the trapezoid.
  • Trapezoid - intersection of diagonals
    intersect_trapezoid_diagonals In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area.