Practice problems of the triangle - page 13 of 116
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: 2311
- Right angled triangle
The hypotenuse of a right triangle is 17 cm long. When we decrease the length of the legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs. - Triangle
Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17. - 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? - IS triangle
Calculate interior angles of the isosceles triangle with base 40 cm and legs 22 cm long. - Heron backlaw
Calculate the missing side in a triangle with sides 25 and 13 and area 152. - Greatest 82502
In triangle ABC, side a = 30 cm b = 7 cm. The length of the third side in cm is a natural number. What is the least and what is the greatest length that side c can have? - Determine 81708
The perimeter of the triangle is 110 cm. Side a is 6 cm longer than side b and 8 cm shorter than side c. Determine the lengths of the sides of the triangle. - Perimeter 80853
The lengths of the sides of the triangle are in the ratio 7:6:4. The shortest side is 36 cm. What is the perimeter in cm of this triangle? - Triangle's 63774
Calculate the perimeter of an isosceles triangle if the triangle's height is 15 cm and the base is 16 cm. - Calculate 60423
In a right triangle RST with a right angle at the vertex T, we know the lengths of two sides: s = 7.8 cm and t = 13 cm; calculate the third party r. - Calculate 35223
In the ABC triangle, the angles alpha, beta, and gamma are in ratio 0.4: 0.2: 0.9. Calculate their size. - Magnitude 23271
In an isosceles triangle, the angle at the primary vertex is 20 ° smaller than twice the magnitude of the angle at the base. What are the interior angles of a triangle? - Percentage 17613
At a horizontal distance of 800 m, the ski slope drops to 220 m above sea level. Determine the percentage decrease. - Calculate 11771
The interior angles of the triangle are 108 degrees 45 minutes and 51 degrees 19 minutes. Calculate the outside angle at the third vertex - 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. - Millimeters 6019
In an isosceles right triangle, the arms' length is 50 mm, and the height at the base is 35.35 mm. Calculate the perimeter of this triangle in millimeters. - Isosceles 4741
The arm is five times longer than its base in an isosceles triangle. Calculate its interior angles. - Magnitudes 3304
In triangle ABC, the interior angle at vertex B is 10 degrees greater than the angle at vertex A, and the angle at vertex C is three times greater than the angle at vertex B. Calculate the magnitudes of the interior angles of the triangle. - Panting
If the base of the triangle is 2 3/4 meters & and the altitude is 3 2/3 meters, then what is the cost of panting on both sides at ₹3 1/2 per sq.m.? - In a
In a triangle, the aspect ratio a: c is 3: 2, and a: b is 5: 4. The perimeter of the triangle is 74cm. Calculate the lengths of the individual sides.
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