Triangle - high school - practice problems - page 3 of 51
Number of problems found: 1006
- Three sides
Side b is 2 cm longer than side c, side a is 9 cm shorter than side b. The triangle circumference is 40 cm. Find the length of sides a, b, and c. - Instantaneous 69064
Describe how the instantaneous power value in the AC circuit changes during one period. - Interior 39791
For the interior angles of a triangle, the angle β is twice as large, and the angle γ is three times larger than the angle α. Is this triangle right? - Determine 18223
From the sine theorem, determine the ratio of the sides of a triangle whose angles are 30 °, 60 °, and 90 °. - Triangle 2668
The triangle ABC has side lengths a = 14 cm, b = 20 cm, c = 7.5 cm. Find the sizes of the angles and the area of this triangle. - The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle. - 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. - 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 - 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? - 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? - Triangle 5851
In a triangle, the first angle is half the second angle, and the third angle is the third of the first angle. How big are the angles in a triangle, and what is the type of triangle? - Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side? - RTriangle 17
The hypotenuse of a right triangle is 17 cm. If you decrease both two legs by 3 cm, you will reduce the hypotenuse by 4 cm. Determine the length of these legs. - Proof PT
Can you easily prove Pythagoras' theorem using Euclidean theorems? If so, do it. - Euclid1
The right triangle has hypotenuse c = 27 cm. How large sections cuts height hc=3 cm on the hypotenuse c? - Circumference 20323
A triangle with sides a, b, and c whose circumference is 26 cm is true: ratio a:b is 4:3, and ratio b:c is 1:2. Find the lengths of the sides of this triangle. - Determine 13541
The alpha angle is twice the beta angle, and the gamma angle is three times the beta angle. Determine the sizes of all interior angles of the alpha, beta, and gamma triangle ABC. - Inequality 4434
The heel of height from the vertex C in the triangle ABC divides the side AB in the ratio 1:2. Prove that in the usual notation of the lengths of the sides of the triangle ABC, the inequality 3 | a-b | holds
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