Length + line segment - practice problems - page 2 of 4
Number of problems found: 79
- Points OPQ
Point P is on line segment OQ. Given OP = 6, OQ = 4x - 3, and PQ = 3x, find the numerical length of OQ. - The coordinates
The coordinates (5, 2) and (-6, 2) are vertices of a hexagon. Explain how to find the length of the segment formed by these endpoints. How long is the segment? - Construct 8
Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC: The vertices of this triangle are points A (1,7), B (-5,1) C (5, -11). The said problem should be used the concepts of distance from a point to a line, rati - A rope
Paul can cut a rope into equal lengths with no rope left over. The lengths can be 15cm, 18cm, or 25cm. What is the shortest possible length of the rope?
- Solutions 45511
Two parallel chords in a circle with a radius of 6 cm have lengths of 6 cm and 10 cm. Calculate their distance from each other. Find both solutions. - Half-planes 36831
The line p and the two inner points of one of the half-planes determined by the line p are given. Find point X on the line p so that the sum of its distances from points A and B is the smallest. - Proportion 32223
Compare line lengths by ratio and proportion. a) AB = 2 cm, | KL | = 8 cm (b) | EF | = 28 cm, | MN | = 21 cm - 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. - Change 29601
Change of line MN, MN = 4.7 cm in the ratio 5:3.
- Two ribbons
The total length of the two ribbons is 13 meters. If one ribbon is 7 and 5/8 meters long, what is the length of the other ribbon? - Divide 27883
Divide the line AB 8 cm long in a ratio of 2:5 - Similarity coefficient
In the triangle TMA, the length of the sides is t = 5cm, m = 3.5cm, and a = 6.2cm. Another similar triangle has side lengths of 6.65 cm, 11.78 cm, and 9.5 cm. Determine the similarity coefficient of these triangles and assign similar sides to each other. - Divide in ratio
Line segment AB is 12 cm long divided in a ratio of 5:3. How long are the individual parts? - My father
My father cut 78 slats on the fence. The shortest of them was 97 cm long, and the longer one was 102 cm long. What was the total length of the slats in cm?
- 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? - Divided 20373
The line AB, whose length is 24 cm, is divided in a ratio of 5:3. How much longer is its larger part? - Length 20353
The given line is MN with a length of 11 cm. Change its length in the ratio: a) k = 2:1 b) k = 1:2 c) k = 17:11 d) k = 22:33 - Divides 20343
The KL line is 12 cm long. Point X divides the line in a ratio of 1:5. What is the length of line XL if point X is closer to point K? - Outside tangents
Calculate the length of the line segment S1S2 if the circles k1 (S1, 8cm) and k2 (S2,4cm) touch the outside.
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