Planimetrics - high school - practice problems - page 3 of 52
Number of problems found: 1033
- Trapezoid - hard example
Bases of the trapezoid are: 24, 16 cm. Diagonal 22, 26 cm. Calculate its area and perimeter. - Circle inscribed
Calculate the perimeter and area of a circle inscribed in a triangle measuring 3, 4, and 5 cm. - Meridian
What is the distance (length) of the Earth's meridian 15° when the radius of the Earth is 6370 km? - Equilateral triangle v2
An equilateral triangle has a perimeter 36 dm. What is its area?
- Folded square
ABCD is a square. The square is folded on the midpoint of AB, and A is folded onto the fold, creating a shaded region. The perimeter of the shaded figure is 75. Find the area of square ABCD - Euclid 5
Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height vc = 5 cm. - Inscribed rectangle
The circle area is 216. Determine the area of the inscribed rectangle with one side 5 long. - Inscribed 3689
There is a triangle ABC whose perimeter is 2s (2s = a + b + c), and the circle k (S, ρ) is the inscribed circle of the triangle. Calculate the length of the tangent of the circle k from point A. - Bisectors
As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6. Find the perimeter of triangle △ BDE.
- Two parallel chords
The two parallel chords of the circle have the same length of 6 cm and are 8 cm apart. Calculate the radius of the circle. - Triangle 2668
The triangle ABC has side lengths a = 14 cm, b = 20 cm, c = 7.5 cm. Find the sizes of the angles and the area of this triangle. - Diamond
The side length of the diamond is 35 cm, and the length of the diagonal is 56 cm. Calculate the height and length of the second diagonal. - Isosceles III
The base of the isosceles triangle is 17 cm area 416 cm². Calculate the perimeter of this triangle. - Five-gon
Calculate the side a, the circumference, and the area of the regular 5-angle if Rop = 6cm.
- RT triangle and height
Calculate the remaining sides of the right triangle if we know side b = 4 cm long and height to side c h = 2.4 cm. - Calculate 2201
Calculate the diagonals in the deltoid with sides of 10, 12.6, and 5 cm. - Silo
The outer perimeter of the silo is 32 m. The concrete wall is 35 cm thick. What is the diameter and area of the inside floor of the silo? - Acceleration
Describe how the cyclist's acceleration changes on individual sections (sections AB plane, BC turn, CD plane, DA turn), which describes the trajectory in the shape of an eight at a constant speed. The speed on the cyclist's tachometer is constant. - Rhombus OWES
OWES is a rhombus, given that OW is 6cm and one diagonal measures 8cm. Find its area?
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Planimetrics - practice problems. Examples for secondary school students.