The area of a triangle ABC is 63 sq.units. Two parallel lines DE, FG, are drawn such that they divide the line segments AB and AC into three equal parts. What is the area of the quadrilateral DEGF?
If DE is parallel to BC and bisects the other two sides of the triangle ABC such that the ratio AD/DB = 5/13 and the length of the part EC is 26 cm. Then determine the length of AE (in cm).
Two identical resistors, each of 10 ohm, are connected in parallel. This combination, in turn, is connected to a third resistor of 10 ohm. The equivalent resistance of the combination is ___.
The base of a triangle is half the base of a parallelogram having the same area as that of the triangle. The ratio of the corresponding heights of the triangle to the parallelogram will be
If the lengths of the two parallel sides of a trapezium are 4 cm and 6 cm and its area is 25 cm². Find the distance between its parallel sides (in cm).
If the lengths of the two parallel sides of a trapezium are 8 cm and 10 cm and its area is 54 cm². Find the distance between its parallel sides (in cm).
If the lengths of the two parallel sides of a trapezium are 7 cm and 9 cm and its area is 80 cm2. Find the distance between its parallel sides (in cm).
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