Triangle - practice for 12 year olds - page 5 of 15
Number of problems found: 281
- Triangular 29781
A triangular building plot is drawn on a 1:5,000 scale plan as a triangle with sides of lengths 32.5 mm, 23.5 mm, and 36 mm. Determine how many m of mesh are needed to fence the entire plot. - Display case
Place a glass shelf at the height of 1m from the bottom of the display case in the cabinet. How long platter will we place at this height? The display case is a rectangular triangle with 2 m and 2.5 m legs. - Triangle 35881
The sum of the lengths of the two sides b + c = 12 cm Beta angle = 68 Gamma angle = 42 draw triangle ABC - Poplar shadow
The nine-meter poplar casts a shadow 16.2 m long. How long does a shadow cast by Peter at the same time if it is 1.4 m high?
- Similar triangles
The triangles ABC and XYZ are similar. Find the missing lengths of the sides of the triangles. a) a = 5 cm b = 8 cm x = 7.5 cm z = 9 cm b) a = 9 cm c = 12 cm y = 10 cm z = 8 cm c) b = 4 cm c = 8 cm x = 4.5 cm z = 6 cm - Vertical 29801
The shadow of the building is 16 m long, and the shadow of the vertical meter rod is 0.8 m long at the same time. What is the height of the building? - Two-meter 3473
A tree with an unknown height casts a shadow 18 m long at a time, while a two-meter pole casts a shadow of 2.4 m. How tall is the tree? - Similar triangles
Triangle A'B'C 'is similar to triangle ABC, whose sides are 5 cm, 8 cm, and 7 cm long. What is the length of the sides of the triangle A'B'C' if its circumference is 80 cm? - The shadow
The shadow of a 1 m high pole thrown on a horizontal plane is 0.8 m long. At the same time, the shadow of a tree thrown on a horizontal plane is 6.4 m. Determine the height of the tree.
- Lookout tower
Calculate the height of a lookout tower forming a shadow of 36 m if a column 2.5 m high has a shadow of 1.5 m at the same time. - Isosceles 67744
Two isosceles triangles have the same angle at the vertex opposite the base. The first one has a base of 12 cm and a leg of 9 cm. The other has a 16 cm long base. Calculate the perimeter of the second triangle. - Similar triangles
In the triangle DEF is DE = 21cm, EF = 14.7cm, DF = 28cm. The triangle D'E'F' is similar to the triangle DEF. Calculate the lengths of the sides of the triangle D'E'F' if the similarity coefficient is one-seventh. - Procedure 4578
I have to construct a triangle - procedure and solution side a = 7cm angle β = 40 median to side c: tc = 5cm - Determine 82724
A right triangle has an area of 36 cm². A square is placed in it so that two sides of the square are parts of two sides of a triangle, and one vertex of the square is in a third of the longest side. Determine the content of this square.
- Garden
The square garden area is 2/9 of triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need to fence a square garden? - The triangles
Two similar triangles, KLM and ABC, are given. Calculate the lengths of the remaining sides of the triangle KLM. If the lengths of the sides are a = 7 b = 5.6 c = 4.9 k = 5 - Similarity
ABC is a triangle wherein a = 4 cm, b = 6 cm, c = 8 cm. Is it similar to the triangle DEF: d = 3 cm, e = 4.5 cm, f = 6 cm? If so, determine the ratio of similarity. - Similarity
Are two right triangles similar if the first one has an acute angle 70° and the second one has an acute angle 20°? - The triangles
The triangles ABC and A'B'C 'are similar, with a similarity coefficient of 2. The angles of the triangle ABC are alpha = 35° and beta = 48°. Determine the magnitudes of all angles of triangle A'B'C '.
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