Triangle - 6th grade (11y) - math problems

1. It is rectangular? Size of two of the angles in a triangle are: α=110°, β=40°. Is it a right triangle?
2. Similarity Are two right triangles similar to each other if the first one has a acute angle 70° and second one has acute angle 20°?
3. Triangle Can be rectangular triangle equilateral?
4. Triangles Equilateral triangle with side 40 cm has the same perimeter as an isosceles triangle with arm of 45 cm. Calculate the base x of an isosceles triangle.
5. 3-bracket May be the largest angle in the triangle less than 20°?
6. Isosceles triangle Calculate the perimeter of isosceles triangle with arm length 26 cm and base length of 21 cm.
7. Angles The triangle is one outer angle 158°54' and one internal angle 148°. Calculate the other internal angles of a triangle.
8. Juice box The juice box has a volume of 200ml with its base is an isosceles triangle with sides a = 4,5cm and a height of 3,4cm. How tall is the box?
9. Triangle Prove whether you can construct a triangle ABC, if a=9 cm, b=6 cm, c=10 cm.
10. Triangle P2 Can triangle have two right angles?
11. 3-bracket 2 May be the smallest angle in the triangle greater than 40°?
12. 7 triangle The triangle area is 26.7 cm2. Determine the side length l if appropriate height hl = 45.3 cm.
13. 3-bracket 3 Two angles in a triangle are 90° and 60°. Has triangle at least two equal sides?
14. Triangle For how many integer values of x can 16, 15 and x be the lengths of the sides of triangle?
15. Octagon from rectangle From tablecloth rectangular shape with dimensions of 4 dm and 8 dm we cuts down the corners in the shape of isosceles triangles. It thus formed an octagon with area 26 dm2. How many dm2 we cuts down?
16. Midpoints Triangle whose sides are midpoints of sides of triangle ABC has a perimeter 45. How long is perimeter of triangle ABC?
17. Area of RT 2 Calculate the area of right triangle whose legs have a length 5.8 cm and 5.8 cm. The size of two internal angles of a triangle ABC are α=6/18π and β=7/18π. Calculate the size of the third angle.
19. QuizQ An isosceles triangle has two sides of length 7 km and 39 km. How long is a third side?
20. Triangle Determine if it is possible to construct a triangle with sides 28 31 34 by calculation.

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