Square practice problems - page 44 of 153
Number of problems found: 3052
- Triangle square area
A right triangle has an area of 36 cm². A square is placed in it so that two sides of the square are parts of two sides of a triangle, and one vertex of the square is in a third of the longest side. Determine the area of this square. - Free space in the garden
The grandfather's free space in the garden was in the shape of a rectangular triangle of 5 meters and 12 meters in length. He decided to divide it into two parts and the height of the hypotenuse. The smaller part creates a rock garden, for the larger sows - Square Lounge Drunken Shopper
After a long dinner, a man named Edward is lying inside a lounge in the shape of square ABCD, in such a position that triangle DEC is equilateral. A second person, Frank, is lying on edge BC with |EB| = |EF|. What is the size of angle CEF? - Equal distance
Find the equation for all the points (x, y) that are equal in distance from points A(5,-2) and B(-2,10). - Square drawing calculation
Draw squares. Color them and calculate the perimeter and areas square ABCD a = 3 cm square EFGH b = 4 cm - Square
Draw a square with side a = 4 cm. Mark the centre of symmetry S and all axes of symmetry. How many axes of symmetry does the square have? - Mr. Bradshaw
Mr. Bradshaw is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 5 meters high. The ladder's base is 1 meter away from the house, where Mr. Bradshaw's son is holding it steady. How long is - Difference - altitude
The distance as the crow flies between Dolní and Horní Ves is 3 km, and the steady climb is 5%. What is the height difference between Horní and Dolní Ves rounded to the nearest meter? - Triangle base calculation
They make bases for table lamps from bronze in the shape of an isosceles triangle. How many m² are needed for 5 mats if the arms are 24 cm long and the height to the triangle's base is 1.5 dm? - Course to airport
The plane flew from airport m on a course of 132° to airport n, then from n to p on a course of 235°. The distance between the airport's mn is 380 km, np 284 km. What will be the return course to m, and what is the distance between the airport's pm? - Point collinear coordinates
Given are points A [1;a2;a3], B [3;-4;-1], C [-3;-1;8]. Points A, B, and C lie in a straight line. Calculate the coordinates a2, a3 - On a line
On a line p : 3 x - 4 y - 3 = 0, determine the point C equidistant from points A[4, 4] and B[7, 1]. - Isosceles
A flower bed has the shape of an isosceles triangle with a base of 25 m and legs of 30 m. Calculate the maximum number of flowers that can be planted in this bed, assuming each flower requires approximately 8 dm² of space. Round the result to the nearest - Antenna mast
An antenna mast is 26 metres high. It is secured by four steel cables attached 1.6 metres below the highest point of the mast and anchored to the ground at the vertices of a square with a side length of 14 metres. The mast stands at the centre of this squ - Triangle SAS
Calculate the area and perimeter of a triangle if two sides are 46 m and 33 m long and the angle between them is 170°. - Point plane distance
Calculate the distance of point A[ 4; 2; -3 ] from the plane : 2x - 2y + z + 5 = 0 - Point symmetry coordinates
In the rectangular coordinate system, find the images of points A[-3; 2] and B[4; -5] in central symmetry according to point O[0; 0]. A. A'[3; 2], B'l-4; -5] C. A'[-3; -2], B'[4; 5] B. A'[-3; -2], B'[-4; 5] D. A'[3; -2], B'[-4; 5] - Quadratic function graph
A quadratic function is given: y = -x² + 2x + 3 a) determine the intersections with the x, y-axis and peak V b) draw a graph and describe c) for which x applies f (x) = 3 - Calculate 8
Calculate the coordinates of point B axially symmetrical with point A[-1, -3] along a straight line p : x + y - 2 = 0. - Parabola
Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c)
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