# Triangle Problems

#### Number of problems found: 1282

• Trigonometric functions In the right triangle is: tg α= frac(2) 1 Find the value of s and c: sin α= (s)/(√ 5) cos α= (c)/(√ 5)
• Diagonal Can be a diagonal of diamond twice longer than it side?
• Diagonals of the rhombus Calculate height of rhombus whose diagonals are 12 cm and 19 cm.
• 3-bracket 3 Two angles in a triangle are 90° and 60°. Has triangle at least two equal sides?
• 3-bracket 2 May be the smallest angle in the triangle greater than 70°?
• 3-bracket May be the largest angle in the triangle less than 20°?
• Diagonal Can a rhombus have the same length diagonal and side?
• Chord Point on the circle is the end point of diameter and end point of chord length of radius. What angle between chord and diameter?
• Chord In a circle with radius r=60 cm is chord 4× longer than its distance from the center. What is the length of the chord?
• Is right? Is a triangle with sides 51, 56, and 77 right triangle?
• Box Calculate the angle between box base 9 x 14 and body diagonal length 18.
• Median In the right triangle are sides a=96 dm b=31 dm. Calculate the length of the medians tc to the hypotenuse.
• Isosceles triangle Calculate the perimeter of isosceles triangle with arm length 73 cm and base length of 48 cm.
• Angles The triangle is one outer angle 158°54' and one internal angle 148°. Calculate the other internal angles of a triangle.
• V-belt Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm.
• Track arc Two straight tracks is in an angle 74°. They will join with circular arc with radius r=1127 m. How long will be arc connecting these lines (L)? How far is the center point of arc from track crossings (x)?
• Heron backlaw Calculate missing side in a triangle with sides 17 and 34 and area 275.
• Sphere cuts At what distance from the center intersects sphere with radius R = 56 plane, if the cut area and area of the main sphere circle is in ratio 1/2.
• Equilateral triangle Calculate the side of an equilateral triangle if its area is 892 mm2.
• Right triangle Right triangle legs has lengths 630 mm and 411 dm. Calculate the area of this triangle.

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