Practice problems of the triangle - page 17 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: 2321
- 11990 perimeter RT
A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length. - Arm and base
The isosceles triangle has a circumference of 46 cm. If the arm is 5 cm longer than the base, calculate its area. - Isosceles triangle
Calculate the size of the interior angles and the length of the base of the isosceles triangle if the arm's length is 17 cm and the height of the base is 12 cm. - The ladder
The ladder touches a wall at the height of 7.5 m. The angle of the inclination of the ladder is 76°. How far is the lower end of the ladder from the wall?
- The Eiffel Tower
The top of the Eiffel Tower is seen from a distance of 600 meters at an angle of 30 degrees. Find the tower height. - Three altitudes
A triangle with altitudes 4, 5, and 6 cm is given. Calculate the lengths of all medians and all sides in a triangle. - Rectangular triangle
The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle? - Isosceles triangle
The leg of the isosceles triangle is 5 dm, and its height is 20 cm longer than the base. Calculate base length z. - Painters
Six of the painters paint 90 m of the fence in five hours. For how long would the four painters paint a 45-meter fence? How many meters of the fence were painted by painters 5 for two hours?
- ABCD
AC= 40cm , angle DAB=38 , angle DCB=58 , angle DBC=90 , DB is perpendicular on AC , find BD and AD - Church tower
Archdeacon church in Usti nad Labem has diverted the tower by 186 cm. The tower is 65 m high. Calculate the angle by which the tower is tilted. Results write in degree minutes. - Angles ratio
In an ABC triangle, is true relationship c is less than b, and b is less than a. Internal angles of the triangle are in the ratio 5:4:9. The size of the internal angle beta is: - RT 11
Calculate the area of the right triangle if its perimeter is p = 45 m and one cathetus is 20 m long. - Isosceles 83157
Using the cosine theorem, prove that in an isosceles triangle ABC with base AB, c=2a cos α.
- Triangular 82269
A gardener plants one row of tulips around a triangular bed with sides of 5 m, 6 m, and 10 m. How many tulip bulbs does he need if he wants to plant 8 bulbs on a length of 1 m? - Calculate 81950
The tangent of the angle formed by the adjacent sides of the triangle ABC (side a=29 m, b = 40 m) equals 1.05. Calculate the area of that triangle. - Following 64814
The two sides of the triangle have side lengths a = 6cm and b = 13cm. Then the following applies to the length of the third party c: (A) 7 - Calculate 60993
In the right triangle ABC, calculate the magnitude of the interior angles if / AB / = 13 cm; / BC / = 12 cm and / AC / = 5 cm. - Magnitude 29891
The triangle ABC is the magnitude of the inner angle α 12 ° smaller than the angle β, and the angle γ is four times larger than the angle α. What size are these interior angles in the triangle?
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