Isosceles trapezoid

Find the height in an isosceles trapezoid if the area is 520 cm2 and the base a = 25 cm and c = 14 cm. Calculate the interior angles of the trapezoid.

Correct answer:

h =  26.6667 cm
A =  78.3462 °
B =  78.3462 °
C =  101.6538 °
D =  101.6538 °

Step-by-step explanation:

a=25 cm c=14 cm S=520 cm2  S = 2a+c h  h=a+c2 S=25+142 520=380 cm=26.6667 cm
x=(ac)/2=(2514)/2=211=5.5 cm  tan A = h : x  A=π180°arctan(h/x)=π180°arctan(26.6667/5.5)=78.3462=78°2046"

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

Tips for related online calculators
See also our right triangle calculator.
Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.

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

Related math problems and questions: