Practice problems of the triangle - page 43 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
- Described 7872
In the KLM isosceles triangle, the KL base is 24 cm long, and the arm measures 15 cm. What is the radius of the circle described by this triangle? - V-belt
Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm. - Rectangle 35
Find the rectangle area when the diagonal is equal to 30 cm and the width is double the length. - Triangular land
Jana has a rectangular garden measuring 30 meters by 72 meters that she wants to split diagonally from corner to corner using a fence. How long does her fence need to be?
- Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle. - Rectangle
In rectangle ABCD with sides, |AB|=19, |AD|=16 is from point A guided perpendicular to the diagonal BD, which intersects at point P. Determine the ratio (|PB|)/(|DP|). - Container 15093
A cone-shaped container with a bottom diameter of 60 cm and a side length of 0.5 m is filled with water. We pour the water into a container with the face of a cylinder with a radius of 3dm and a height of 20cm. Will the cylinder overflow or not be complet - The field
The player crossed the field diagonally and walked the length of 250 m. Calculate the length of the field circumference if one side of the field is 25 meters. - RT sides
Find the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm.
- Inscribed circle
XYZ is a right triangle with a right angle at the vertex X with an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm. - Goat
Meadow is a circle with a radius r = 19 m. How long must a rope tie a goat to the pin on the Meadow's perimeter to allow the goat to eat half of the Meadow? - Triangle in circle
Vertices of the triangle ABC lies on a circle with radius 3 so that it is divided into three parts in the ratio 4:4:4. Calculate the circumference of the triangle ABC. - Rectangle
Calculate the length of the side GN and diagonal QN of rectangle QGNH when given: |HN| = 25 cm and angle ∠ QGH = 28 degrees. - Trigonometric formula
Determine the value of the function tg x (tangens) when cotg x = -0.8 (cotangent); x holds in the second quadrant)
- Rectangular 4624
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The junction of the centers of adjacent sides is 20 m long. Calculate the perimeter and acreage of the land. - Circumference 4278
An inscribed circle is also described as an equilateral triangle with a side length of 8 cm. How many cm is the circumference of the inscribed circle smaller than the circumference of the described circle? - Angle of diagonals
Calculate a rectangle's perimeter and area if its diagonal is 14 cm and the diagonals form an angle of 130°. - Rectangle 6946
The triangle has a base of 7 cm and a height of 6 cm. The rectangle has one side of 10.5 cm and the same area as the triangle. What is the length of the other side of the rectangle? - Calculate 5809
In the ABCD rectangle, the AB side is 16 cm long, and the AC diagonal is 20 cm long. Calculate the perimeter and area of the rectangle.
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