Triangle practice problems - page 11 of 121
Number of problems found: 2417
- Bisectors
As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6. Find the perimeter of triangle △ BDE.
- 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 of 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.
- Internally 8277
The outside angle at the base of an isosceles triangle is 132 degrees. Calculate the angles of a triangle internally.
- 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.
- 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.
- The aspect ratio
The aspect ratio of the rectangular triangle is 13:12:5. Calculate the internal angles of the triangle.
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