# Triangle - math word problems

1. 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?
2. 3-bracket 2 May be the smallest angle in the triangle greater than 40°?
3. 3-bracket May be the largest angle in the triangle less than 20°?
4. 3-bracket 3 Two angles in a triangle are 90° and 60°. Has triangle at least two equal sides?
5. Diagonals of the rhombus Calculate height of rhombus whose diagonals are 12 cm and 19 cm.
6. Trigonometric functions In right triangle is: ? Determine the value of s and c: ? ?
7. Is right? Is triangle with sides 51, 56 and 77 right triangle?
8. Box Calculate the angle between box base 9 x 14 and body diagonal length 18.
9. 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?
10. Isosceles triangle Calculate the perimeter of isosceles triangle with arm length 26 cm and base length of 21 cm.
11. Median In the right triangle are sides a=41 dm b=42 dm. Calculate the length of the medians tc to the hypotenuse.
12. Angles The triangle is one outer angle 158°54' and one internal angle 148°. Calculate the other internal angles of a triangle.
13. Right triangle Right triangle legs has lengths 630 mm and 411 dm. Calculate the area of this triangle.
14. V-belt Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm.
15. Triangle Calculate heights of the triangle ABC if sides of the triangle are a=75, b=84 and c=33.
16. Equilateral triangle Calculate the side of an equilateral triangle, if its area is 892 mm2.
17. Heron backlaw Calculate missing side in a triangle with sides 17 and 34 and area 275.
18. 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.
19. 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)?
20. ABS CN Calculate the absolute value of complex number -15-29i.

Do you have an interesting mathematical word problem that you can't solve it? Submit math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...