Pythagorean theorem + square (second power, quadratic) - practice problems - page 15 of 36
Number of problems found: 705
- 2-meter-long 81619
How tall is the tree if I lean a 2-meter-long ladder against it? The ladder is 0.7 m away from the tree, and the top of the ladder rests against the tree at 2/3 of its height. - Right-angled 81019
In the right-angled triangle ABC (AB is the hypotenuse), a : b = 24 : 7, and the height to the side c = 12.6 cm applies. Calculate the lengths of the sides of triangle ABC. - Plane II
A plane flew 50 km on a bearing of 63°20' and then flew in the direction of 153°20' for 140km. Find the distance between the starting point and the ending point. - Tiles
How much will you pay CZK for laying tiles in a square room with a diagonal of 8 m if 1 m² cost CZK 420?
- Silver medal
A circular silver medal with a diameter of 10 cm is an inscribed gold cross consisting of five equal squares. What is the area of the silver part? b) What is the area of the golden cross? - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm. - Surveyor
Calculate the area of what may vary rectangular, if it focused by surveyor and found the dimensions 10 x 16 m while in each of the four joint points can be position deviation 8 cm? - Rhombus
It is given a rhombus of side length a = 20 cm. Touchpoints of inscribed circle divided his sides into sections a1 = 13 cm and a2 = 7 cm. Calculate the radius r of the circle and the length of the diagonals of the rhombus. - Perpendicular 73574
The two lines of the triangle are perpendicular to each other and are 27 cm and 36 cm. Calculate the length of the sides of the triangle and the length of the third line.
- Calculate 73024
Calculate the permille descent of the railway line in the section of 7.2 km by 21.6 m. - Sidewalk 26121
The garden has a square shape, and its area is 8,100 m². It will be divided by a sidewalk connecting the two opposite garden peaks. How long will this trail be? - 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 - Bricklayer
How much do we pay for a bricklayer laying pavement in a square room with a diagonal of 8 m if 1 sqm of work will cost CZK 420? - Right Δ
A right triangle has the length of one leg 72 cm and the hypotenuse 90 cm size. Calculate the height of the triangle.
- 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. - 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. - Perpendicular 67174
Calculate the perpendicular s in the right triangle STU (the right angle at the vertex U), if the hypotenuse is long u = 93cm and the perpendicular t = 48 cm - 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. - 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?
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