Practice problems of the triangle - page 9 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 second
The second angle of a triangle is the same size as the first angle. The third angle is 12 degrees larger than the first angle. How large are the angles? - N points on the side
An equilateral triangle A, B, and C on each of its inner sides lies N=13 points. Find the number of all triangles whose vertices lie at given points on different sides. - 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. - Road
The angle of a straight road is approximately 12 degrees. Determine the percentage of this road.
- Triangle ABC
In an ABC triangle, side b measure 10 cm less than side a, and side b is half of side c. Calculate the length of the sides of the circumference of the triangle as 42 cm. - It is rectangular?
The size of two of the angles in a triangle is α=110°, β=40°. Is it a right triangle? - Triangle
Prove whether you can construct a triangle ABC if a=8 cm, b=6 cm, c=10 cm. - Triangles
An equilateral triangle with a side 16 cm has the same perimeter as an isosceles triangle with an arm of 23 cm. Calculate the base x of an isosceles triangle. - Instantaneous 69064
Describe how the instantaneous power value in the AC circuit changes during one period.
- Isosceles 65784
An isosceles triangle has an angle of 78°20' at the base. Calculate the size of the angle between the arms. - Trigonometric 50551
Solve the trigonometric equation: cos (x-52°) = 1 - 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 39503
In a right triangle, one acute angle is 20° smaller than the other. Determine the size of the interior angles in the triangle. - Calculation 18413
What is the length of the cathetus of an isosceles right triangle with an 8 cm long hypotenuse? Make calculations and procedures.
- Determine 18223
From the sine theorem, determine the ratio of the sides of a triangle whose angles are 30 °, 60 °, and 90 °. - Internally 8277
The outside angle at the base of an isosceles triangle is 132 degrees. Calculate the angles of a triangle internally. - 'Calculate 6224
Right triangle. Given: side c = 15.8 and angle alpha = 73°10'. Calculate side a, b, angle beta, and an area. - Right-angled 3511
In a right-angled triangle at vertex C, the alpha angle is 24 degrees smaller than the beta angle to determine the size of the triangle angles. - 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.
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