Right triangle - practice for 13 year olds - page 21 of 41
Number of problems found: 816
- Four-sided 5917
Mr. Radomír had a misfortune during the last storm; a tree fell on his roof in the shape of a regular four-sided pyramid and destroyed it all. The roof has a base edge length of 8m and a side edge length of 15m. How many m² of roofing will he have to buy? - Woman's day
We can easily make a heart for mothers for Woman's day by drawing two semicircles on the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1? - Diagonals 5113
In the diamond KLMN, the lengths of the diagonals are 10 cm and 6 cm. Determine the angle size that the longer diagonal makes with the side of the diamond. - Two heights and a side
Construct triangle ABC when the given side is c = 7 cm, height to side a va = 5 cm, and height to side b: vb = 4 cm. - The rectangular
The rectangular trapezoid has bases 15 dm and 8 dm long, and the length of the inclined arm is 12 dm. How long is the other arm of the trapezoid? - Kites
Boys run kites on a cable of 68 meters long. What is the kite altitude if the angle from the horizontal plane is 72°? - The rope
A 68-centimeter-long rope is used to make a rhombus on the ground. The distance between a pair of opposite side corners is 16 centimeters. What is the distance between the other two corners? - Trapezoid ABCD
Calculate the perimeter of trapezoid ABCD if we know the side c=12, b=19, which is also a height, and side d=32. - Roof cover
Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m² of sheet metal is needed to cover this roof; if 5.5% of the sheet, we must add for joints and waste. - Cubes
One cube is an inscribed sphere, and the other one is described. Calculate the difference of volumes of cubes if the difference of surfaces in 231 cm². - Perpendicular 32371
Calculate the area of a rectangular trapezoid whose perpendicular arm is 27 mm long and the bases are 33 mm and 19 mm long. - Centimeters 6583
Calculate how much we will pay for the paper to cover the box in the shape of a three-sided prism with the base of a right-angled triangle; if the overhangs measure 12 cm and 1.6 decimeters, the hypotenuse measures 200 millimeters, the box is 27 centimete - Right-angled 64614
Arrange the given shapes according to their area content, in descending order: Square with perimeter = 16 cm A rectangle with side a = 3 cm and perimeter o = 16 cm A right-angled triangle with a hypotenuse of 4.125 cm and a hypotenuse of 8.125 cm - MO Z7–I–6 2021
In triangle ABC, point D lies on the AC side and point E on the BC side. The sizes of the angles ABD, BAE, CAE, and CBD are 30°, 60°, 20°, and 30°, respectively. Find the size of the AED angle. - A dodecagon
Find the surface area of a regular 12-sided polygon if its side is a = 12 cm. - The bridge
Across the circle, the lake passes through its center bridge over the lake. At three different locations on the lakeshore are three fishermen, A, B, and C. Which of the fishermen see the bridge from the largest angle? - 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... - Cincinnati
A map is placed on a coordinate grid. Cincinnati is located at (5,4), and San Diego is located at (-10, -3). How far apart is Cincinnati from San Diego on the map? Round to the nearest tenth. - Tangents
To circle with a radius of 41 cm from the point R guided two tangents. The distance of both points of contact is 16 cm. Calculate the distance from point R and circle center.
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