Triangle practice problems - page 9 of 125
Number of problems found: 2496
- 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? 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?
- The missing angle  Find the unknown angle in the triangle. Angles are: 95, 2x+15, x+3. What type of triangle is it? Find the unknown angle in the triangle. Angles are: 95, 2x+15, x+3. What type of triangle is it?
- 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. 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. 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.
- 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. 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.
- Triangle  Prove whether you can construct a triangle ABC if a=8 cm, b=6 cm, c=10 cm. Prove whether you can construct a triangle ABC if a=8 cm, b=6 cm, c=10 cm.
- Calculate  68394   The sizes of the interior angles of the triangle are in the ratio of 3:4:5. Calculate these angles. The sizes of the interior angles of the triangle are in the ratio of 3:4:5. Calculate these angles.
- Circumference  4420   In an isosceles triangle with a circumference of 36 cm, the height at the base is 12 cm. Calculate the length of the arm of a given triangle. In an isosceles triangle with a circumference of 36 cm, the height at the base is 12 cm. Calculate the length of the arm of a given triangle.
- Triangle  3187   In a general triangle, the aspect ratio a: b = 2:3. What is the ratio of heights va: vb? In a general triangle, the aspect ratio a: b = 2:3. What is the ratio of heights va: vb?
- One angle 2  One angle of a triangle measures 50°. The other two angles are in a ratio of 5:8. What are the measures of those two angles? One angle of a triangle measures 50°. The other two angles are in a ratio of 5:8. What are the measures of those two angles?
- 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? The triangle has one side 5 cm long and another 11 cm long. What can be the smallest, and what is the largest perimeter?
- Centre of mass  The vertices of triangle ABC are from the line p distances 3 cm, 4 cm, and 8 cm. Calculate the distance from the center of gravity of the triangle to line p. The vertices of triangle ABC are from the line p distances 3 cm, 4 cm, and 8 cm. Calculate the distance from the center of gravity of the triangle to line p.
- Moivre 2  Find the cube roots of 125(cos 288° + i sin 288°). Find the cube roots of 125(cos 288° + i sin 288°).
- Sinus  Determine the smallest integer p for which the equation 3 sin x = p has no solution. Determine the smallest integer p for which the equation 3 sin x = p has no solution.
- Angles  The triangle is one outer angle 82°6' and one internal angle 48°36'. Calculate the other interior angles of a triangle. The triangle is one outer angle 82°6' and one internal angle 48°36'. Calculate the other interior angles of a triangle.
- 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? 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?
- 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. 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.
- Greatest angle  Calculate the greatest triangle angle with sides 124, 323, 302. Calculate the greatest triangle angle with sides 124, 323, 302.
- 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 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.
- Isosceles  65784   An isosceles triangle has an angle of 78°20' at the base. Calculate the size of the angle between the arms. An isosceles triangle has an angle of 78°20' at the base. Calculate the size of the angle between the arms.
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