# Planimetrics - math word problems

Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.

1. Diagonal Can be a diagonal of diamond twice longer than it side?
2. Rectangular field One dimension of the rectangular field is 56 m greater than second dimension. If each side of the rectangle increases by 10 m, increases the surface field is 1480 m2 . Determine dimencions of the field.
3. 3-bracket 2 May be the smallest angle in the triangle greater than 40°?
4. 3-bracket May be the largest angle in the triangle less than 20°?
5. Diagonal Can a rhombus have the same length diagonal and side?
6. 3-bracket 3 Two angles in a triangle are 90° and 60°. Has triangle at least two equal sides?
7. Diagonals of the rhombus Calculate height of rhombus whose diagonals are 12 cm and 19 cm.
8. 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?
9. Trigonometric functions In right triangle is: ? Determine the value of s and c: ? ?
10. Garden How many steps of 76 cm circumvent square garden with area 1.8 ha?
11. Is right? Is triangle with sides 51, 56 and 77 right triangle?
12. Proof I When added to the product of two consecutive integers larger one, we get square larger one. Is this true or not?
13. 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?
14. Isosceles triangle Calculate the perimeter of isosceles triangle with arm length 26 cm and base length of 21 cm.
15. Median In the right triangle are sides a=41 dm b=42 dm. Calculate the length of the medians tc to the hypotenuse.
16. Clock How long is trajectory of second hand of hours for day, if is 15 mm long?
17. Angles The triangle is one outer angle 158°54' and one internal angle 148°. Calculate the other internal angles of a triangle.
18. Tree trunk Calculate the average tree trunk with a circumference of 149 cm.
19. Rectangle SS Perimeter of a rectangle is 268 cm and its diagonal is 99.3 cm. Determine the dimensions of the rectangle.
20. Right triangle Right triangle legs has lengths 630 mm and 411 dm. Calculate the area of this triangle.

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