# Ratio + line segment - math problems

On solving problems and tasks with proportionally, we recommend hint rule of three. Rule of three (proportionality) help solve examples of direct and inverse proportionality. Three members make possible to calculate the fourth - unknown member.

#### Number of problems found: 11

• Similarity coefficient In the triangle TMA the length of the sides is t = 5cm, m = 3.5cm, a = 6.2cm. Another similar triangle has side lengths of 6.65 cm, 11.78 cm, 9.5 cm. Determine the similarity coefficient of these triangles and assign similar sides to each other.
• Divide in ratio Line segment AB 12 cm long divide in a ratio of 5: 3. How long are the individual parts?
• Line segment The 4 cm long line segment is enlarged in the ratio of 5/2. How many centimeters will measure the new line segment?
• Trapezoid - intersection of diagonals In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate trapezoid area.
• Points on line segment Points P & Q belong to segment AB. If AB=a, AP = 2PQ = 2QB, find the distance: between point A and the midpoint of the segment QB.
• Line segment Cut a line segment of 15 cm into two line segments so that their lengths are in ratio 2:1. What length will each have?
• Sides od triangle Sides of the triangle ABC has length 4 cm, 5 cm and 7 cm. Construct triangle A'B'C' that are similar to triangle ABC which has a circumference of 12 cm.
• Map 2 At what scale is made map if the distance 8.2 km corresponds on the map segment 5 cm long?
• Line segment For the line segment whose endpoints are L[-1, 13] and M[18, 2], find the x and y value for the point located 4 over 7 the distance from L to M.
• Slope Calculate the slope of a line that intersects points (-84,41) and (-76,-32).
• Line segment Line segment AB is 8 cm long. Divide it in a ratio of 2: 3.

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