Triangle practice problems - page 62 of 125
Number of problems found: 2492
- Diagonal in rectangle
In the ABCD rectangle is the center of BC, point E, and point F is the center of the CD. Prove that the lines AE and AF divide diagonal BD into three equal parts.
- Pharaoh
Kleomurapi is a pharaoh. Yesterday, his pyramid builders complained to him that their backs hurt from lifting stones. So the pharaoh had a ramp built that was 6 meters long, 2 meters wide, and 1.5 meters high to make it easier for the builders to reach th
- Leg and height
Solve right triangle with height v = 7.8 m and shorter cathetus b = 15 m.
- ABS CN
Calculate the absolute value of the complex number -6+19i.
- Equilateral cone
A cup has the shape of an equilateral cone (side “s” is the same size as the diameter of its base - the axial section is an equilateral triangle) It is supposed to hold 0.2 liters of liquid at a level 1 cm below the rim. Calculate its diameter
- Circumscribed 83152
Given is an isosceles triangle whose base is 8 cm, and the sides are 15 cm long. Calculate the area of the triangle and the radius of the inscribed and circumscribed circle.
- Outer contact of circles
Construct a circle k1 (S1; 1.5 cm), k2 (S2; 2 cm), and K3 (S3; 2.5 cm) so that they are always two outer contacts. Calculate the perimeter of the triangle S1S2S3.
- Axial cut
The cone surface is 388.84 cm2, and the axial cut is an equilateral triangle. Find the cone volume.
- How long
How long is the diagonal of the square with side a = 50mm?
- Calculate
Calculate the length of a side of the equilateral triangle with an area of 50cm².
- Felix
Calculate how much land Felix Baumgartner saw after jumping from 36 km above the ground. The radius of the Earth is R = 6378 km.
- Diagonals 7029
The number of diagonals of a given polygon is 88 more than the number of its sides. How many sides does this polygon have
- Construction 55311
Construct a KLM triangle where side k is 6.7 cm, the line to the k side is 4.1 cm, and the LKM angle is 63 degrees. Write the construction procedure.
- Construct 13581
The vertices of the triangle ABC lie on the circle k. The circle k is divided into three parts in a ratio of 1:2:3. Construct this triangle.
- Equilateral triangle vs circle
Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy?
- Square
Calculate the area of the square with diagonal 17 cm.
- Construct
Construct a triangle ABC inscribed circle with a radius r = 2 cm and an angle alpha = 50 degrees = 8 cm. Make a sketch, analysis, construction, and description.
- Equilateral 6306
We composed the diamond of four equilateral triangles with a side length of 7 cm. What's his circuit?
- Circumference 5254
Calculate the shorter side and the diagonal of the rectangle if one side is 2 cm longer than the other and its circumference is equal to 70 centimeters.
- Calculate cuboid, diagonals
The volume of a cuboid with a square base is 64 cm3, and the body diagonal deviation from the base's plane is 45 degrees. Calculate its surface area.
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