Diagonals at right angle
In the trapezoid ABCD, this is given:
AB=12cm
CD=4cm
And diagonals crossed under a right angle. What is the area of this trapezoid ABCD?
AB=12cm
CD=4cm
And diagonals crossed under a right angle. What is the area of this trapezoid ABCD?
Correct answer:
Showing 1 comment:
Math student
I don't think the solution is correct. The height is the radius if and only if the trapezoid is symmetrical. But it doesn't have to be. In fact, take a line segment of length 12 and start a 20 degree angle from one side and 70 from the other (for the diagonals). Intersect them and keep going until there is 4 long parallel line. Then increase the 20 degree angle - the height will increase and the area too.
Tips for related online calculators
You need to know the following knowledge to solve this word math problem:
geometryplanimetricsbasic operations and conceptsUnits of physical quantitiesGrade of the word problem
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Circumference 7052
The trapezoid ABCD is given (AB || CD, AB perpendicular to AD). Calculate its circumference if | AB | = 20cm, | CD | = 15cm, | AD | = 12cm. Pythagorean theorem - Trapezoid 70454
Construct a trapezoid ABCD (AB // CD): | AB | = 7cm | BC | = 3.5cm | CD | = 4cm The magnitude of the angle ABC = 60° - Quadrilateral 80729
Quadrilateral ABCD has side lengths AB=13cm, CD=3cm, AD=4cm. Angles ACB and ADC are right angles. Calculate the perimeter of quadrilateral ABCD. - Diagonal intersect
Isosceles trapezoid ABCD with length bases | AB | = 6 cm, CD | = 4 cm is divided into four triangles by the diagonals intersecting at point S. How much of the area of the trapezoid are ABS and CDS triangles? - Trapezium diagonals
It is given trapezium ABCD with bases | AB | = 12 cm, |CD| = 8 cm. Point S is the intersection of the diagonals for which |AS| is 6 cm long. Calculate the length of the full diagonal AC. - Isosceles 37621
In the isosceles trapezoid ABCD, its bases AB = 20cm, CD = 12cm and arms AD = BC = 8cm are given. Specify its height and alpha angle at vertex A - Base RR odd
The base of the prism is an isosceles trapezoid ABCD with bases AB = 12 cm, and CD = 9 cm. The angle at vertex B is 48° 10'. Determine the volume and area of the prism if its height is 35 cm.
