Triangle practice problems - page 12 of 125
Number of problems found: 2492
- The sides 3
The sides of an equilateral triangle are 9.4 cm, correct to the nearest decimal place. Work out the upper bound of the side of this triangle. - Three altitudes
A triangle with altitudes 4, 5, and 6 cm is given. Calculate the lengths of all medians and all sides in a triangle. - Isosceles triangle
In an isosceles triangle, the arm's length and the length of the base are in a ratio of 3 to 5. What is the length of the arm? - Angles by cosine law
Calculate the size of the angles of the triangle ABC if it is given by: a = 3 cm; b = 5 cm; c = 7 cm (use the sine and cosine theorem). - Triangle radians
The size of two internal angles of a triangle ABC is α=6/18π and β=7/18π. Calculate the size of the third angle. - Angles in a triangle
The angles of the triangle ABC make an arithmetic sequence with the largest angle γ=83°. What sizes have other angles in a triangle? - Determine 82143
Determine the size of the interior angles in an isosceles triangle if you know that the angle opposite the base is 15° greater than the angles at the base. - Gamma angle
Find the magnitude of the gamma angle in triangle ABC if: α = 38° 56' and β = 47° 54'. - Circumference 7655
The triangle has a circumference of 35 cm. One side is four times longer than the other and, at the same time, 1 cm longer than the third. Determine the sides of the triangle. - Calculate 4425
In the triangle ABC with the center of gravity T, b = 7cm, median to c: tc = 9cm, the ATC angle is 112 degrees. Calculate the length of the line ta. - Triangle 75
Triangle ABC has angle C bisected and intersected AB at D. Angle A measures 20 degrees, and angle B measures 40 degrees. The question is to determine AB-AC if length AD=1. - Circumference of a triangle
The circumference of the triangle is 104 cm. One side is 6 cm longer and 8 cm shorter than the third. Find the lengths of its sides. - Three angles
In a triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha. The size of the angle beta is 80 degrees larger than the size of the gamma angle. Calculate the magnitudes of the interior angles of the triangle ABC. - Smallest internal angle
Calculate what size has the smallest internal angle of the triangle if values of angles α:β:γ = 3:4:8 - The sum 18
The sum of the three angles in a triangle is 180°. Find the 3rd angle of a triangle if the 1st and 2nd angles measure 58.3° and 45.5°. - Determine 57151
The land has the shape of an obtuse triangle with sides of 40m, 30, and 60m. Determine the minimum mesh length for fencing and the land area in ares. - Remaining 25441
An isosceles triangle has the size of the angles at the base alpha = beta = 34 degrees 34 minutes. Calculate the magnitude of the angle at the remaining vertex of the triangle in degrees and minutes. - Circumference 4127
The base is 3.5 cm shorter than the shoulder in an isosceles triangle. The circumference of the triangle is 58 cm. Calculate the lengths of the sides of this triangle. - Calculate 3292
The perimeter of the isosceles triangle is 32 cm. The base is 2 cm longer than the shoulder. Calculate the sides of the triangle. - Two forces 3
Two forces with magnitudes 8 Newtons and 15 Newtons act at a point. Find the angle between the forces if the resultant force is 17 Newtons.
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