Pythagorean theorem - math word problems - page 29 of 73
Number of problems found: 1446
- 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? - Rectangular 18993
The bases are 9 cm and 50 mm long in a rectangular trapezoid. The length of the shorter arm is 3 cm. Calculate the circuit and area. - Staircase 5322
Find out if the handrail on a staircase with 20 steps will be longer than 7 m if the step is 32 cm wide and 15 cm high. (1 = Yes, 0 = No) - Voltage 2533
The high voltage mast fastens 30 m long ropes at 2/3 of the mast height. How tall is the mast if the ropes anchor at 15 m from the mast? - Four ropes
Four ropes anchor the TV transmitter at a height of 44 meters. Each rope is attached 55 meters from the heel of the TV transmitter. Calculate the number of meters of rope used to construct the transmitter. When each attachment is needed, add an extra 1/2- - Dragon altitude
The kite is tied to a string 85 meters long and hovers over a place 60 meters away from us. Calculate how high the dragon hovers. - Height 2
Calculate the height of the equilateral triangle with side 22. - In a right triangle 13
The height of the hypotenuse is 4.8cm. The hypotenuses are in the ratio 4:3. Calculate the perimeter and area of a triangle. - Spruce
A massive storm broke the top of fifteen-meter spruce so that it remained hanging along the rest of its trunk. The distance of this hanging top from the ground was 4.6 m. At what height was the spruce trunk broken? - The diamond
The diamond has an area S = 120 cm2, and the ratio of the length of its diagonals is e: f = 5:12. Find the lengths of the side and the height of this diamond. - 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? - Two parallel chords
In a circle 70 cm in diameter, two parallel chords are drawn so that the circle's center lies between the chords. Calculate the distance of these chords if one is 42 cm long and the second is 56 cm long. - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are at a ratio of 5:3. The arm is 6cm long and 4cm high. - Pentagon
Calculate the length of a regular pentagon's side, circumference, and area, inscribed in a circle with a radius r = 6 cm. - Right triangle
Calculate the unknown side b and interior angles, perimeter, and area of a right triangle if a=10 cm and hypotenuse c = 16 cm. - The pond
We can see the pond at an angle of 65°37'. Its endpoints are 155 m and 177 m away from the observer. What is the width of the pond? - Circumference 83645
The area of a right triangle is 240 cm². Determine its circumference if the given lengths are suspended in a ratio of 5:12. - Loonie
Loonie has three wooden sticks measuring 17 inches, 21 inches, and 25 inches. He lays them down to form a triangle. Find the measure of the angle enclosed by 17 inches and 21 inches. (Express answers to the nearest hundredths) (using the law of cosines) - Calculate 35911
Calculate the height of the house's roof, which is an isosceles triangle with a base of 8.4 m and arms of 6.5 m. - Cross-section 17871
The road embankment has a cross-section of an isosceles trapezoid with bases 16 m and 10 m long and with arms 5 m long. How many cubic meters of soil is in the 400 meters long dam?
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