Pythagorean theorem + right triangle - practice problems - page 22 of 57
Number of problems found: 1121
- Circle section
An equilateral triangle with side 33 is an inscribed circle section whose center is in one of the triangle's vertices, and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio between the circumference to the circle sector a - Calculate 73024
Calculate the permille descent of the railway line in the section of 7.2 km by 21.6 m. - Right-angled 64084
A right-angled triangle ABC with sides 5 cm and 12 cm is described by circle k. Calculate the length of circle k in centimeters. When calculating, use π = 3, 14 and round the result to tenths. - Cross-section 42981
Is it possible to cut a beam with a square cross-section with a side length of 30 cm from a log with a diameter of 42 cm? Write the answer as follows: yes, because. ... no, because...
- Dimensions 5580
Calculate the areas of the colored parts on our flag in the shape of a rectangle with dimensions of 2m and 1m. White and red form half the width, the blue triangle is isosceles, and its apex is half the length. - Triangle 5568
The land in the shape of a right triangle has an area of 96 m². How many meters of mesh do we need to fence if one of its hinges is 12 meters long? - Circumference 4956
Calculate the circumference of a diamond whose area is 288cm square and one diagonal is 12.4cm. - Numerically 4839
Calculate the diagonal of such a square, for which it holds that its area is equal to its perimeter (without considering units, numerically ...). - 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. - Horizontal 26131
What height difference does the 2.5 km long ski lift overcome when the horizontal distance of the entry and exit station is 1200 meters? - Position 19113
The column is fixed in a vertical position by 3 ropes, which are caught at the height of 3 m above the ground. The other ends of the ropes are anchored to the ground at a distance of 4 m from the base of the column. How much rope was used to secure the po - Right-angled 5804
We sorted the lengths of the sides of the two triangles by size: 8 cm, 10 cm, 13 cm, 15 cm, 17 cm, and 19 cm. One of these two triangles is right-angled. Calculate the perimeter of this right triangle in centimeters - Determine 5324
An isosceles triangle with base c and arms a is given by: a = 50.3 cm c = 48.2 cm Determine the interior angles and heights of the base c.
- Centimeters 4162
Calculate for me the length of the diagonal of a rectangle whose size is 7 cm greater than its width and whose perimeter is 34 centimeters. The dimensions of the rectangle are expressed in natural numbers. - 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. - 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. - ISO Triangle V2
The perimeter of the isosceles triangle is 474 m, and the base is 48 m longer than the arms. Calculate the area of this triangle. - River
From the observatory 11 m high and 24 m from the riverbank, river width appears in the visual angle φ = 13°. Calculate the width of the river.
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