Task 1 · easy
Triangular classification 5
Specify the type of triangle with the sides 5, 12 and 13.
Hint and solution →Original practice tasks · Math · High school . Class 2
Planimetry — tasks with solutions
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Easy
7
Medium
11
Hard
2
Task 2 · medium
Diverted triangle
Specify the type of triangle with sides 4, 5 and 7.
Hint and solution →Task 3 · medium
Trimming length
In a circle with a radius of 10 the centre of the cut is 6. Calculate the length of the cut.
Hint and solution →Task 4 · medium
The length of the tangent section
Point P lies 13 units from the center of O circle with a radius of 5. PT is tangent at point T. Calculate PT.
Hint and solution →Task 5 · easy
Diagonal rectangle
The rectangle has sides 6 and 8. Calculate the diagonal length.
Hint and solution →Task 6 · easy
Rhombus field
The diagonals of the rhombus are 10 and 24. Count the field.
Hint and solution →Task 7 · easy
Hexagonal circuit
The hexagon has a side of 4. Calculate the perimeter.
Hint and solution →Task 8 · easy
Included angle
The middle angle based on AB is 80°. Calculate the input angle based on the same arc.
Hint and solution →Task 9 · easy
Middle angle
The curved angle is 35°. Calculate the corresponding middle angle.
Hint and solution →Task 10 · medium
Arc length
The circle has a radius of 6. Calculate the length of the arc corresponding to the centre angle of 120°.
Hint and solution →Task 11 · medium
Cut-off field
The wheel has a radius of 9. Calculate the area of the cut-off with the center angle of 40°.
Hint and solution →Task 12 · medium
Tales's claim
In the triangle ABC, points D.AB, E.AC and DE.BC. AD=4, DB=2, AE=6. Calculate the EC.
Hint and solution →Task 13 · medium
Side in similar figures
The scale of the larger triangle to the smaller triangle is 3/2. The corresponding side of the smaller one is 8. Calculate the side of the bigger one.
Hint and solution →Task 14 · medium
Field in similar figures
The scale of the larger figure to the smaller figure is 3. The smaller field is 5. Calculate the larger field.
Hint and solution →Task 15 · medium
Center of gravity
The median triangle is 12. Calculate the distance of the centre of gravity from the tip lying on this medially.
Hint and solution →Task 16 · medium
The radius of the circle described
The rectangular triangle has a hypotenuse length of 10. Calculate the radius of the circle described.
Hint and solution →Task 17 · easy
Ownership of the centre of the circle entered
The radius of the circle in the triangle is 4. What's the distance between this circle and each side of the triangle?
Hint and solution →Task 18 · medium
Sinus field
Two sides of the triangle have 10 and 12 and an angle between them is 30°. Count the field.
Hint and solution →Task 19 · hard
Proof in the isosceles triangle
In the ABC triangle we have AB=AC. Point D is the BC measure. Please state that
Hint and solution →Task 20 · hard
Circuit and field scale
The circumference of a larger figure similar is 2,5 times greater than the circumference of a smaller figure. The smaller field is 32. Calculate the larger field.
Hint and solution →Karta pracy do druku
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Otwórz kartę pracy →After the tasks
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