Polygons
Pythagorean theorem, diagonal of a square and height of an equilateral triangle, areas of polygons, a length from the area, calculations in rhombi and trapezia, converting units of area
Exercises are drawn at random from a large bank - every click gives a different set.
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Problem
The perimeter of a regular hexagon is 30 m. How long is its longest diagonal?
Give the exact answer
A right triangle has legs of 12 cm and 6 cm. How long is the hypotenuse?
Problem
The diagonals of a rhombus are 24 dm and 32 dm long. How long is its side?
Problem
A right triangle has a hypotenuse of 20 cm and one leg of 16 cm. How many centimetres is the other leg?
Choose the correct answer
An equilateral triangle has side 18. What is its height?
Problem
A 4.1 m ladder leans against a vertical wall with its foot 0.9 m from the wall. How high up the wall does it reach?
Fill in
29 km² = ☐ a
Fill in
16 cm² = ☐ mm²
Problem
A right triangle has sides of 18 mm, 30 mm and 24 mm. How long is the shortest height of this triangle?
Problem
A rectangle has a side of 12 cm and a diagonal of 20 cm. What is its area?
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