Square root + diagonal - practice problems - page 2 of 8
Number of problems found: 152
- Quadrilateral 81097
The quadrilateral ABCD is symmetrical about the diagonal AC. The length of AC is 12 cm, the length of BC is 6 cm, and the interior angle at vertex B is right. points E and F are given on the sides AB, and AD so that the triangle ECF is equilateral. Determ - Respectively 80982
The vertices of the square ABCD are joined by the broken line DEFGHB. The smaller angles at the vertices E, F, G, and H are right angles, and the line segments DE, EF, FG, GH, and HB measure 6 cm, 4 cm, 4 cm, 1 cm, and 2 cm, respectively. Determine the ar - Rectangular 80776
The perimeter of the rectangular garden is 42 meters. Its sides are in the ratio 3:4. Calculate the length of the sidewalk that is the diagonal of the garden. - Construct 80719
Construct a rectangle ABCD if a = 8cm and the length of the diagonal AC is 13cm. Measure the length of the sides of the rectangle.
- Square 80371
Draw a square EFIJ if EI is equal to 7cm. - Quadrilateral 78874
Given is a quadrilateral ABCD inscribed in a circle, with the diagonal AC being the circle's diameter. The distance between point B and the diameter is 15 cm, and between point D and the diameter is 18 cm. Calculate the radius of the circle and the perime - The perimeter
The perimeter of a rhombus whose diagonal lengths are in the ratio 3:4 is 40 cm. What is its area in cm²? - The rectangle 5
The rectangle OABC has one vertex at O, the center of a circle, and a second vertex A is 2 cm from the edge of the circle, as shown. The vertex A is also a distance of 7 cm from C. The point B and C lie on the circumference of the circle. a. What is the r - One-third 77724
The cuboid has a body diagonal u=25 cm, and side b is one-third longer than side a. What is the volume of the cuboid?
- Calculate 74024
The diagonal of the axial section of the rotating cylinder is 6 cm, and its surface is 30 cm square. Calculate the radius of the base. - A rhombus 4
A rhombus has a side length of 10 cm. Find the angles at each corner of the rhombus if the shorter of the two diagonals measures 7 cm. Give your answers to the nearest degree and give clear geometric reasoning at each stage of your solution. - The diagonal 4
The diagonal of a rhombus measures 16 cm and 30 cm. Find its perimeter. - Circumference 72414
Calculate the diagonal and the area of a square if its circumference is 10 centimeters. - Calculate 70814
The length of the sides AB and AD of the rectangle ABCD are in the ratio 3: 4. A circle k with a diameter of 10 cm describes a rectangle. Calculate the side lengths of a given rectangle.
- Calculate 70634
The axial section of the cylinder is a rectangle with a diagonal of u = 20 cm. The height of the cylinder is twice the diameter of the base. Calculate the cylinder volume in liters. - Inaccessible 69794
Determine the distance between two inaccessible places P, Q, if the distance between two observation points A, B is 2000m and if you know the size of the angles QAB = 52°40''; PBA = 42°01''; PAB = 86°40'' and QBA = 81°15''. The considered locations A, B, - Calculate 69104
The diagonal of the TV screen is 82 cm, and the height is 40 cm. Calculate the width of the screen. - Consider 3
Consider the isosceles trapezoid PQRS. The bases are |PQ|=120 mm, |RS|=62 mm and the arm s=48 mm. Find the height of the trapezoid, diagonal length and the area of the trapezoid. - Measuring 65374
Calculate the length of the body diagonal of a block measuring 6 cm, 7 cm, and 10 cm, and round the result to two decimal places.
Do you have homework that you need help solving? Ask a question, and we will try to solve it.