Practice problems of the triangle - page 36 of 117
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. The sum of the measures of the interior angles of a triangle is always 180 degrees. An exterior angle of a triangle is an angle that is a linear pair (and hence supplementary) to an interior angle. The best known area formula is T = a*h /2 where a is the length of the side of the triangle, and h is the height or altitude of the triangle.Number of problems found: 2330
- Land
Rectangular, triangular land has an area of 30 square meters and 12 meters long leg. How many meters of fence do you need for fencing this land? - 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) - Observer 64354
At what angle of view does an object 70 m long appear to the observer, 50 m away from one end, and 80 m from the other end? - Centimeters 4170
In triangle ABC, we connected the centers of the sides, and we got a smaller triangle with an area of 14 cm². What is the content of triangle ABC in square centimeters?
- 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?
- Distance 64804
Dan is the square ABCD. At its diagonal AC lies point E. The distance AB is equal to the distance AE. What is the size of the EBC angle? - 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. - Branches 18533
The right triangle has an area of 225 cm². One of its branches is twice the size of the other. Find the lengths of its hangers.
- 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. - Squares above sides
In a right triangle, the areas of the squares above its sides are 169, 25, and 144. The length of its longer leg is: - 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?
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