Calculations in polygons
Types of exercises: rhombus: side, perimeter and height from the diagonals, trapezium: height from the leg, then area, a problem with two answers.
Exercises are drawn at random from a large bank - every click gives a different set.
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Problem
The diagonals of rhombus ABCD are AC = 8 cm and BD = 16 cm. Diagonal BD is extended to a point E so that segment BE is twice as long as this diagonal. What can the area of triangle CDE be (in cm²)? The problem has two answers - give both.
Problem
The diagonals of a rhombus are 48 mm and 14 mm long. How long is its side?
Problem
A right trapezium has parallel sides of 40 dm and 19 dm, and its longer leg is 29 dm. What is its area?
Problem
The diagonals of rhombus ABCD are AC = 12 dm and BD = 16 dm. Diagonal BD is extended to a point E so that segment BE is twice as long as this diagonal. What can the area of triangle CDE be (in dm²)? The problem has two answers - give both.
Problem
The diagonals of a rhombus are 14 cm and 48 cm long. What is its perimeter?
Problem
An isosceles trapezium has parallel sides of 35 cm and 15 cm, and each of its legs is 26 cm. What is its area?
Problem
The diagonals of rhombus ABCD are AC = 4 cm and BD = 7 cm. Diagonal BD is extended to a point E so that segment BE is three times as long as this diagonal. What can the area of triangle CDE be (in cm²)? The problem has two answers - give both.
Problem
The diagonals of a rhombus are 40 m and 42 m long. How long is its side?
Problem
An isosceles trapezium has parallel sides of 28 cm and 10 cm, and each of its legs is 15 cm. What is its height?
Problem
The diagonals of rhombus ABCD are AC = 12 dm and BD = 14 dm. Diagonal BD is extended to a point E so that segment BE is three times as long as this diagonal. What can the area of triangle CDE be (in dm²)? The problem has two answers - give both.
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