triangle 5420
Two pairs of parallel lines, AB to CD and AC to BD, are given. Point E lies on the line BD, point F is the midpoint of the segment BD, point G is the midpoint of the segment CD, and the area of the triangle ACE is 20 cm2.
Determine the area of triangle DFG.
Determine the area of triangle DFG.
Correct answer:
Tips for related online calculators
See also our right triangle calculator.
Do you want to convert length units?
See also our trigonometric triangle calculator.
Do you want to convert length units?
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
- geometry
- line
- line segment
- algebra
- expression of a variable from the formula
- planimetrics
- right triangle
- area of a shape
- triangle
Units of physical quantities:
Themes, topics:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Intersection 7247
On side AB of triangle ABC, points D and E are given such that |AD| = |DE| = |EB|. Points A and B are the midpoints of segments CF and CG. Line CD intersects line FB at point I, and line CE intersects line AG at point J. Prove that the intersection of lin - MO - triangles
On the AB and AC sides of the ABC triangle lies successive points E and F, and on segment EF lie point D. The EF and BC lines are parallel. It is true this ratio FD:DE = AE:EB = 2:1. The area of the ABC triangle is 27 hectares, and line segments EF, AD, a - Trapezoid thirds
The ABCD trapezoid has parallel sides AB and CD. The E point lies on the AB side. The segment DE divides the trapezoid into two parts with the same area. Find the length of the AE line segment. - Collinear lines
Points A, B, and C are collinear, and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC?
- Trapezium ABCD
The figure shows ABDC is a trapezium in which AB || CD. Line segments RN and LM are drawn parallel to AB such that AJ=JK=KP. If AB=0.5m and AP=BQ=1.8m, find the lengths of AC, BD, RN, and LM. angle D=angle C=60 - Perpendicular lines
Points A(1,2), B(4,-2) and C(3,-2) are given. Find the parametric equations of the line that: a) It passes through point C and is parallel to the line AB, b) It passes through point C and is perpendicular to line AB. - Internal angles
The ABCD is an isosceles trapezoid, which holds: |AB| = 2 |BC| = 2 |CD| = 2 |DA|: On the BC side is a K point such that |BK| = 2 |KC|, on its side CD is the point L such that |CL| = 2 |LD|, and on its side DA, the point M is such that | DM | = 2 |MA|. Det - Construct 30121
Point B is a vertex of rectangle ABCD. The diagonal BD of this rectangle lies on the line p. Point X is an interior point of side AD of rectangle ABCD, and point Y is an internal point of side CD. Construct the missing vertices D, A, and C of rectangle AB - Trapezoid ABCD
ABDC is a trapezoid in which AB and CD are parallel sides measuring 6 and 9, respectively. Angles ABC and BCD are both right angles. Find the length of segment BD.
- trapezium 3428
Given is a trapezoid ABCD with bases AB, CD. Let K be side AB's midpoint, and point L be side CD's midpoint. The area of triangle ALB is 15 cm2, and the area of triangle DKC is 10 cm². Calculate the area of trapezium ABCD. - Five circles
On the line segment CD = 6 there are five circles with one radius at regular intervals. Find the lengths of the lines AD, AF, AG, BD, and CE. - ABCD square
In the ABCD square, the X point lies on the diagonal AC. The length of the XC is three times the length of the AX segment. Point S is the center of the AB side. The length of the AB side is 1 cm. What is the length of the XS segment? - Identical 8831
In the triangle ABC, the point P lies closer to point A in the third of the line AB, the point R is closer to the point P in the third of the line P, and the point Q lies on the line BC so that the angles P CB and RQB are identical. Determine the ratio of - Conditions 7186
Given an isosceles right triangle ABS with base AB. On a circle centered at point S and passing through points A and B, point C lies such that triangle ABC is isosceles. Determine how many points C satisfy the given conditions and construct all such point
- Quadrilateral 82616
Triangle ABC is divided into line segments. Lines DE and AB are parallel. Triangles CDH, CHI, CIE, and FIH have the same area, namely 8 dm². Find the content of quadrilateral AFHD. - Proportion 20443
On line AB, 15 cm long, point C lies 4 cm from point A. In what proportion does this point divide the line AB? - Midpoint of segment
Point A has coordinates [4; -11], and the midpoint of segment AB is point [17; -7]. What are the coordinates of point B?
