Triangle + Pythagorean theorem - practice problems - page 13 of 60
Number of problems found: 1193
- Perpendiculars 66274
The perpendiculars of a right triangle have lengths of 30 cm and 40 cm. What is the height of the triangle? - Isosceles 5711
An isosceles triangle with a base length of 32 cm has an area of 480 cm². What's his perimeter? - Outside point
The square ABCD and the point E lying outside the given square are given. What is the area of the square when the distance | AE | = 2, | DE | = 5 a | BE | = 4? - Trigonometric functions
In the right triangle is: tg α= frac(4) 2 Find the value of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20)
- 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? - The storm
After the storm, the top of the 5 m high mast deviated by 1 m from the original vertical axis. What is the peak now? Round to 2 decimal places. - Sum of squares
The sum of squares above the sides of the rectangular triangle is 900 cm². Calculate the area of the square over the triangle's hypotenuse. - Determine 79864
Determine by how many meters the deviated tower, whose height is 56m, and the top of the tower is located at 55.855m. - Height
Is it true that the height is less or equal to half of the hypotenuse in any right triangle?
- Triangle 63244
The area of the ABCD square in the picture is 36 cm². Points E and F are the centers of the square BC and CD sides. What is the area of the triangle AEF in cm²? - 30-meter 45481
The 30-meter tree broke. Its top fell 5m from the trunk. At what level did it break? - Calculate 35911
Calculate the height of the house's roof, which has the shape of an isosceles triangle with a base of 8.4 m and arms of 6.5 m. - Circumference 4421
The area of an equilateral triangle is 81 times three below the square root of cm². Calculate its circumference. - Stairway
The stairway has 20 steps. Each step has a length of 22 cm and a height of 15 cm. Calculate the length of the handrail of staircases if the top and bottom exceed 10 cm.
- Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side. - AP RT triangle
The length of the sides of a right triangle forms an arithmetic progression, and the longer leg is 24 cm long. What are the perimeter and area? - Face of the house
How tall is the roof of a house in the shape of an isosceles triangle with a base length of 8 meters and an arm 5 meters long? - Tree trunk
From the tree trunk, the diameter at the narrower end is 28 cm, and a beam of the square cross-section is to be made. Calculate the longest side of the largest possible square cross-section. - Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find the value of x
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