Pythagorean theorem - practice for 13 year olds - page 18 of 35
Number of problems found: 690
- 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 - Pythagorean 81883
Hello, I have a problem calculating the height on side z in the general triangle XYZ, where z=4 cm, x=1.5 cm, and y=3.7 cm. It was assigned in 8th grade when discussing the Pythagorean theorem. Thank you. - Intersection 81457
Two cars started from the right-angled intersection of two roads. The first at a speed of 80 km/h and the second at a speed of 60 km/h. How fast are they moving away from each other? - Distance 79874
The mast is 190m high and is attached to six ropes which are anchored in the ground at a distance of 20m from the base of the mast. How many meters of rope were needed? - Garden G
The rectangular, trapezoidal garden has a base length of 81m, 76m, and a vertical arm of 12m. Calculate how many m² of the area will remain for planting greenery if 1/3 of the area is built. Calculate the consumption of mesh for land fencing. - ABCD square
In the ABCD square, the X point lies on the diagonal AC. The length of the XC is three times the length of the AX segment. Point S is the center of the AB side. The length of the AB side is 1 cm. What is the length of the XS segment? - 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? - Intersections 68784
The figure shows the circles k₁(S₁; r1=9 cm) and k₂(S2; r2 = 5 cm). Their intersections determine a common chord t 8 cm long. Calculate the center distance |S₁ S₂| in cm to two decimal places. - Dedicated 62673
The street lamp is 5.5 m high. It suddenly stopped shining. How long do ladders need workers if they know that dedicated lamps can be placed at a distance of 18 dm at the bottom? - Ratio in trapezium
The height v and the base a, c in the trapezoid ABCD is in the ratio 1:6:3, its area S = 324 square cm. Peak angle B = 35 degrees. Determine the perimeter of the trapezoid - Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm? - Simultaneously 82583
The crane lifts the load in a uniform, straight line to a height of 8 m and simultaneously moves in a horizontal direction to a distance of 6 m. What path did the load cover? What was the resulting velocity of the load if it took 50 seconds to move it - Regular 62524
The floor in the game tower has the shape of a regular hexagon with a side length of 5m. How many pieces of parquet must be ordered to cover it if 25 pieces are needed for 1 square meter, and we must add a reserve of 10%? - Triangle's 16613
They make bases for table lamps from bronze in the shape of an isosceles triangle. How many m² are needed for 5 mats if the arms are 24 cm long and the height to the triangle's base is 1.5 dm? - Right triangle generator
Detective Harry Thomson found on the Internet a generator of the lengths of the sides of right triangles according to which he must apply: a = 2xy, b = x² - y², c = x² + y², where are natural numbers and x & gt; y. Is it a working generator? - Mr. Bradshaw
Mr. Bradshaw is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 5 meters high. The ladder's base is 1 meter away from the house, where Mr. Bradshaw's son is holding it steady. How long is - Laths
There are two laths in the garage opposite one another: one 2 meters long and the other 3 meters long. They fall against each other and lean against the opposite walls of the garage. Both laths touch at 70 cm above the garage floor. How wide is the garage - 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. - Two aircraft
From the airport will start simultaneously two planes, which flight tracks are perpendicular to each other. The first flying speed of 680 km/h and the second 840 km/h. Calculate how far the aircraft will fly for half an hour.
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