Triangle practice problems - page 9 of 125
Number of problems found: 2492
- 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.
- Triangle 3187
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?
- 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 angles
The angles in the triangle are in the ratio 12:15:9. Find the angles.
- 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.
- Moivre 2
Find the cube roots of 125(cos 288° + i sin 288°).
- Angles
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?
- 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.
- Greatest angle
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.
- Isosceles 65784
An isosceles triangle has an angle of 78°20' at the base. Calculate the size of the angle between the arms.
- Successive 45281
The sizes of the interior angles of the triangle are in a successive ratio of 6:4:5 are these angles big?
- 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?
- Angles
The outer angle of the triangle ABC at vertex A is 147°12'. The outer angle at vertex B is 113°42'. What size is the internal angle at vertex C?
- A triangle 2
A triangle has a base of 2 inches and a height of 2 3/4 inches. What is the area of the triangle?
- Sine theorem 2
From the sine theorem, find the ratio of the sides of a triangle whose angles are 30°, 60°, and 90°.
- Alfa beta gama
The triangle's interior angle beta is 10 degrees greater than the angle alpha, and the gamma angle is three times larger than the beta. Determine the size of the interior angles.
- Internal angles
One internal angle of the triangle JAR is 25 degrees. The difference is the size of the two others is 15°. Identify the size of these angles.
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