Practice problems of the triangle - page 10 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
- The perimeter
The triangle has one side 5 cm long and another 11 cm long. What can be the smallest, and what is the largest perimeter? - Interior angles
Calculate the interior angles of a triangle that are in the ratio 2:3:4. - Right angle
If a, b and c are two sides of a triangle ABC, a right angle in A, find the value on each missing side. If b=10, c=6 - Altitude difference
What is a climb per mille of the hill long 4 km and the altitude difference is 6 meters? - The aspect ratio
The aspect ratio of the rectangular triangle is 13:12:5. Calculate the internal angles of the triangle. - Is right triangle or not
If right triangle ABC, have sides a=13, b=11.5, c=22.5. Find area. - Largest angle of the triangle
Calculate the largest angle of the triangle whose sides have the sizes: 2a, 3/2a, 3a - Internal angles
Find the internal angles of the triangle ABC if the angle at the vertex C is twice the angle at the B and the angle at the vertex B is 4 degrees smaller than the angle at vertex A. - Windbreak
A tree at the height of 3 meters broke in the windbreak. Its peak fell 4.5 m from the tree. How tall was the tree? - Two triangles SSA
We can form two triangles with the given information. Use the Law of Sines to solve the triangles. A = 59°, a = 13, b = 14 - Internal angles
One internal angle of the triangle JAR is 25 degrees. The difference is the size of the two others is 15°. Identify the size of these angles. - Euclid3
Calculate the height and sides of the right triangle if one leg is a = 81 cm and the section of hypotenuse adjacent to the second leg cb = 39 cm. - Angles in triangle
The triangle is the ratio of the angles β:γ = 6:8. Angle α is 40° greater than β. What is the size of the angles of the triangle? - Three-fifths 80366
Calculate in cm the perimeter of a triangle with sides a, b, and c. If a is two-thirds of side b, c is three-fifths side b; b=15 cm. - Calculate 80358
A triangle has interior angles of 58º 20' and 83º 40'. Calculate the magnitude of the third in degrees of angle. - Triangle of cans
A display of cans on a grocery shelf consists of 28 cans at the bottom, 25 cans in the next row, and so on. There are nine rows on a shelf. How many cans are there in the 9th row? How many cans in total are on display? - Straight 30241
The straight road has a rise of 19%. How big is the pitch angle? - Magnitudes 19623
Calculate the magnitudes of the interior angles of a triangle if you know that these are in a 2: 3: 5 ratio. - Circumference 15873
The sides of the triangle are in a ratio of 3:4:6. One side of it measures 21 cm. Calculate its circumference. - Calculate 6687
Calculate the sizes of the remaining inner and outer angles. Alpha with comma α '= 140 ° and beta with comma β' = 100 °.
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