Diagonal + right triangle - practice problems - page 6 of 18
Number of problems found: 355
- Calculate 2416
In the rectangle ABCD, we know the side length is AB = 16 cm, and the diagonal AC = 20 cm. Calculate its perimeter and area. - A rectangle 5
A rectangle has sides of 10 cm and 14 cm. Calculate the angle between a diagonal and a long side. - Company logo
The company logo consists of a blue circle with a radius of 4 cm and an inscribed white square. What is the area of the blue part of the logo? - Rhombus
The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height. - Tree trunk
From the tree trunk, the diameter at the narrower end is 28 cm, and a beam of the square cross-section is to be made. Calculate the longest side of the largest possible square cross-section. - Octagon
We have a square with a side 56 cm. We cut corners to make his octagon. What will be the side of the octagon? - Rectangular 4624
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The junction of the centers of adjacent sides is 20 m long. Calculate the perimeter and acreage of the land. - Parallelogram diagonals
Find the area of a parallelogram if the diagonals u1 = 15 cm and u2 = 12 cm and the angle formed by them is 30 degrees. - Diagonals of pentagon
Calculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12dm; b) a circumscribed circle with a radius of 12dm. - Rhombus diagonals
In the rhombus ABCD, the sizes of the diagonals e = 24 cm and f = 10 cm are given. Calculate the side length of the diamond and the size of the angles, and then calculate the area of the diamond. - Rectangle
There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of a rectangle. - Square diagonal
Calculate the length of the diagonal of the square with side a = 11 cm. - Respectively 81293
The figure shows the squares ABCD, EFCA, CHCE, and IJHE. Points S, B, F, and G are, respectively, the centers of these squares. Line segment AC is 1 cm long. Determine the area of triangle IJS. Please help... - Circumference 46171
Calculate the circumference and area of a rectangle with one side 6 cm long and a diagonal 10 cm long. - Perimeter 6254
Perimeter and area of the rectangle. Diagonal 260m and one side 150m - Circumscribed 2671
The circle's radius circumscribed by the rectangle is 5 cm, and one side of the rectangle is 6 cm long. Calculate the length of the other side and the area of the rectangle. - Two circles
Two circles with the same radius, r = 1, are given. The center of the second circle lies on the circumference of the first. What is the area of a square inscribed in the intersection of given circles? - Rectangle diagonal
The rectangle, one side of which is 5 cm long, is divided by a 13 cm diagonal into two triangles. Calculate the area of one of these triangles in cm². - The sides
The sides of the rectangle are in a ratio of 3:5, and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals - Diagonals
Given a rhombus ABCD with a diagonal length of 8 cm and 12 cm. Calculate the side length and area of the rhombus.
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