Pythagorean theorem - practice for 12 year olds - page 4 of 5
Number of problems found: 98
- Again saw
We have a sculpture beam from the tree trunk with a rectangular cross-section with dimensions 91 mm and 87 mm. What is the trunk's smallest diameter? - Road embankment
Road embankment has a cross-section shape of an isosceles trapezoid with bases 5 m and 7 m and 2 m long leg. How many cubic meters of soil is in embankment length of 1474 meters? - Ladder 2
Ladder 6.4 meters long is positioned in the well such that its lower end is distanced from the wall of the well 1.2 m. The upper part of the ladder is supported on the upper edge of the well. How high is the well? - Rope slack
Between two streets, 20 m away, give the lamp in the middle and hang 60 cm below the taut rope. Can it be done with a 20.5 meters rope? - Dimensions 5580
Calculate the contents 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. - 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? - Minute
Two boys started from one place. The first went north at a velocity of 3 m/s, and the second to the east with a velocity of 4 m/s. How far apart are they after a minute? - IS trapezoid
Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm. - Rhumbline
Find the circumference and area of the rhumbline ABCD if the short side AD has a length of 5 cm, and the heel of the height from D leading to the AB side divides the AB side into two sections of 3 cm and 4 cm. - Trapezoid RT
The plot has a shape of a rectangular trapezium ABCD, where ABIICD with a right angle at the vertex B. side AB has a length of 36 m. The lengths of the sides AB and BC are in the ratio 12:7. Lengths of the sides AB and CD are a ratio of 3:2. Calculate con - Garden
The square garden area is 2/9 of triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need to fence a square garden? - Determine 82724
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 content of this square. - Dig water well
Mr. Zeman is digging a well. Its diameter is 120 cm and plans to be 3.5 meters deep. How long (at least) must be a ladder, after which Mr. Zeman would have eventually come out? - Rectangle
The rectangle is 21 cm long and 38 cm wide. Find the radius of the circle circumscribing the rectangle. - Rectangular triangle PQR
In the rectangular triangle PQR, the PQ leg is divided by the X point into two segments, of which longer is 25cm long. The second leg PR has a length of 16 cm. The length of the RX is 20 cm. Calculate the length p of side RQ. The result is round to 2 deci - Kite
John a kite, which is diamond-shaped. Its diagonals are 60 cm long and 90 cm long. Calculate: a) the diamond side b) how much paper John needs to make a kite if he needs a paper on both sides and needs 5% of the paper for bending? - Ethernet cable
Charles and George are passionate gamers and live in houses opposite each other across the street so they can see each other through the windows. They decided their computers would connect to the telephone cable to play games together. Charles lives on th - Central park in city
The city park has the shape of a rectangle of 180 meters in length and 120 meters in width. People make their walk through the center of the park from one corner to the second. Calculate how many meters this way is shorter than walking along the path arou
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