Pythagorean theorem + length - practice problems - page 11 of 27
Number of problems found: 538
- Crossbars 80697
Calculate the length of the middle crossbars in an isosceles triangle if the length of the arm is 52mm and the base height is 48mm - Circumference 7823
The bases are 9 cm and 5 cm long in a rectangular trapezoid. The length of the shorter arm is 3 cm. Calculate its circumference and area. - Isosceles 5575
The picture shows an isosceles triangle VLK with a center of gravity of T. The base VL measures 16 cm, and the line KK1 measures 18 cm. How long is the VV1 line? - Equilateral 4301
Triangle ABC is equilateral with a side length of 8 cm. Points D, E, and F are the sides AB, BC, and AC midpoints. Calculate the area of triangle DEF. In what ratio is the area of triangle ABC to the area of triangle DEF?
- Diagonals of rhombus
Find the length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm. - Rectangular field
A rectangular field has a diagonal length of 169m. If the length and width are in the ratio of 12:5. Find the dimensions of the field, the perimeter of the field, and the area of the field. - The mast
A 40 m high mast is secured in half by eight ropes 25 m long. The ends of the ropes are equidistant from each other. Calculate this distance. - Diagonal 20
The rectangular town plaza's diagonal pathway is 20 m longer than the width. Suppose the pathway is 20 m shorter than twice the width. How long should the pathway be? - Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height.
- Triangle ABC
In a triangle ABC with the side BC of length 2 cm. Point K is the middle point of AB. Points L and M split the AC side into three equal lines. KLM is an isosceles triangle with a right angle at point K. Determine the lengths of the sides AB, AC triangle A - Rhomboid
The rhomboid sides' dimensions are a= |AB|=5cm, b = |BC|=6 cm, and the angle's size at vertex A is 60°. What is the length of the diagonal AC? - 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. - 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?
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