Practice problems of the triangle - page 2 of 109
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. The sum of the measures of the interior angles of a triangle is always 180 degrees. An exterior angle of a triangle is an angle that is a linear pair (and hence supplementary) to an interior angle. The best known area formula is T = a*h /2 where a is the length of the side of the triangle, and h is the height or altitude of the triangle.Number of problems found: 2167
- Catheti
The hypotenuse of a right triangle is 41, and the sum of legs is 49. Calculate the length of its legs.
- Angle
Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence.
- 3-bracket 2
Maybe the smallest angle in the triangle is greater than 70°?
- 3-bracket
Maybe the largest angle in the triangle is less than 20°?
- Triangle 36091
Decide if the triangle is right (sides 5,11,7, cm)
- Isosceles triangle
Calculate the area of an isosceles triangle, the base measuring 16 cm and the arms 10 cm.
- Possible lengths
Find the possible lengths for the third side of a triangle with sides 20 and 18.
- An equilateral triangle
The perimeter of an equilateral triangle is 33cm. How long is each side?
- Is right triangle
Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m
- Area of RT 2
Calculate the area of a right triangle whose legs have a length of 6.2 cm and 9.8 cm.
- Right triangle
Right triangle ABC with side a = 19 and the area S = 95. Calculate the length of the remaining sides.
- Right triangle
Right triangle legs have lengths 630 mm and 411 dm. Calculate the area of this triangle.
- Circumference 47983
What is the area of an equilateral triangle with a circumference of 63 cm?
- Greatest angle
Calculate the greatest triangle angle with sides 197, 208, 299.
- Angles
In the triangle ABC, the magnitudes of the angles α, β γ are in the ratio 0.4:1:0.9. Find their magnitudes.
- One leg
One leg of a right triangle is 1 foot longer than the other leg. The hypotenuse is 5 feet. Find the lengths of the three sides of the triangle.
- Height of right RT
The right triangle ABC has a hypotenuse c 9 cm long and a part of the hypotenuse cb = 3 cm. How long is the height of this right triangle?
- Complementary angles 2
Two complementary angles are (x+4) and (2x - 7). Find the value of x.
- Angles in triangle
Calculate the alpha angle in the triangle if the beta is 61 degrees and 98 gamma degrees.
- QuizQ
An isosceles triangle has two sides of length 7 km and 39 km. How long is a third side?
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