Angle - high school - practice problems - page 7 of 28
Number of problems found: 555
- 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. - 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? - 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 - 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? - 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 °. - Bisectors
As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6. Find the perimeter of triangle △ BDE.
- 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? - Bisector 2
ABC is an isosceles triangle. While AB=AC, AX is the bisector of the angle ∢BAC meeting side BC at X. Prove that X is the midpoint of BC. - Moivre 2
Find the cube roots of 125(cos 288° + i sin 288°). - Cosine
The point (3, 4) is on the terminal side of angle θ. cos θ = ... - One-quarter 13953
Calculate the magnitude of the interior angles of the triangle ABC if alpha = two-fifths beta and alpha = one-quarter gamma.
- Equilateral triangle v2
An equilateral triangle has a perimeter 36 dm. What is its area? - Sine
In the triangle Δ ABC, if sin α =0.8 and sin β =0.6 Calculate sin γ. - Angle
Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence. - Scalene triangle
Solve the triangle: A = 50°, b = 13, c = 6 - Euclid2
The ABC right triangle with a right angle at C is side a=29 and height v=17. Calculate the perimeter of the triangle.
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