Pythagorean theorem + area of a shape - practice problems - page 10 of 23
Number of problems found: 456
- Perpendicular 82473
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk. - Hexagon 8167
How many dm² of organic glass is needed to produce 50 washers in the shape of a regular hexagon? The side is 8 cm long. - The diamond
The diamond has an area S = 120 cm2, and the ratio of the length of its diagonals is e: f = 5:12. Find the lengths of the side and the height of this diamond. - Ratio of squares
A circle is given in which a square is inscribed. The smaller square is inscribed in a circular arc formed by the square's side and the circle's arc. What is the ratio of the areas of the large and small squares? - Compute 4
Compute the exact value of the triangle area with sides 14 mi, 12 mi, and 12 mi long. - Diagonals of the rhombus
How long are the diagonals e, and f in the diamond if its side is 5 cm long and its area is 20 cm²? - Square
Calculate the area of the square shape of the isosceles triangle with the arms 50m and the base 60m. How many tiles are used to pave the square if the area of one tile is 25 dm²? - Diagonal
The rectangular ABCD trapeze, whose AD arm is perpendicular to the AB and CD bases, has an area of 15 cm square. Bases have lengths AB = 6cm, CD = 4cm. Calculate the length of the AC diagonal. - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are at a ratio of 5:3. The arm is 6cm long and 4cm high. - Measurements of a triangle
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 50°, b = 30 ft, c = 14 ft - Circumscribed 83152
Given is an isosceles triangle whose base is 8 cm, and the sides are 15 cm long. Calculate the area of the triangle and the radius of the inscribed and circumscribed circle. - Right-angled 82416
What are the sides of a right-angled triangle with a perimeter of 45 centimeters and a volume of 67.5 cm²? - Consumption 80836
The right trapezoidal plot has a basic length of 102m and 86m. The vertical arm is 63 m long. Calculate the plot’s area and the mesh consumption for its fencing. - Calculate 70804
The garden is a right triangle fenced with a 364 m fence length. The shorter slope of the triangle is 26 m long. Calculate the area of this garden. - Trapezoid 65644
In an isosceles trapezoid, the base ratio a / c = 9/7, arm b = 10 cm, height v = 8 cm. Calculate the area of the trapezoid in cm². - Rhumbline
Find the circumference and area of the rhumbline ABCD if the short side AD has a length of 5 cm, and the heel of the height from D leading to the AB side divides the AB side into two sections of 3 cm and 4 cm. - ISO triangle
Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has a perimeter 377 mm. - Percentage 82591
A new path is to lead through Mr. Milan's garden – diagonally. By what percentage of the area of the park will it decrease? The length is 23.8 m, the width is 16.7 m, and the road width is 6 m. - Hypotenuse 82158
A right triangle with hypotenuse c=25 dm is given. Calculate the length of the missing side, given: side a=15 dm. Determine the content of this triangle. Sketch the triangle and describe all its vertices and sides correctly. - Railway embankment
The railway embankment section is an isosceles trapezoid, and the bases' sizes are in the ratio of 5:3. The arms have a length of 5 m, and the embankment height is 4.8 m. Calculates the size of the embankment section area.
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