Triangle practice problems - page 45 of 126
Number of problems found: 2520
- Triangle angle axis
In triangle ABC, we know the angle BAC = 50 degrees. What is the angle between the axis of the angle ACB and the axis of the angle CAB? - Theater podium angle
The theater has the shape of a semicircle, and the podium is the diameter of a semicircle. Spectators K, L, M, N, and O, sit around the perimeter. Who sees the podium at the greatest angle? - Similar Triangle Construction
KLM triangle on sides k = 5.4 cm. L = 6 cm, m = 6.6 cm. Construct a triangle K 'L'M 'for which the following holds: ∆KLM ~ ∆K 'L'M' and m '= 9.9 cm - Two angles
The triangles ABC and A'B'C 'are similar. In the ABC triangle, the two angles are 25° and 65°. Explain why in the triangle A'B'C 'is the sum of two angles of 90 degrees. - Similarity coefficient
The triangles ABC and A'B'C' are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A'B'C'. - Triangle construction
I have to construct a triangle - procedure and solution side a = 7 cm angle β = 40 median to side c: tc = 5 cm - Medians and sides
Triangle ABC in the plane Oxy has the coordinates of the points: A = 2.7 B = -4.3 C-6-1 Try to calculate the lengths of all medians and all sides. - Two similar triangles
Find unknown sides of a similar triangles: a = 6 cm, b = 8 cm, c =?, a '=?, b '= 12 cm, c' = 15 cm - Similar triangles
The triangles ABC and XYZ are similar. Find the unknown lengths of the sides of the triangles. The lengths: a = 5 cm, b = 8 cm and x = 7.5 cm z = 9 cm. - Slope
What is the slope of a line with an inclination -325°? - Legs and ratio
The legs of a right triangle are in the ratio a:b = 6:8. The hypotenuse has a length of 61 cm. Calculate the perimeter and area of this triangle. - Triangle perpendicular lines
Two altitudes of a triangle are perpendicular to each other and measure 27 cm and 36 cm. Calculate the lengths of the sides of the triangle and the length of the third altitude. - Garden triangle fence
The garden is a right triangle fenced with a 364 m fence length. The shorter slope of the triangle is 26 m long. Calculate the area of this garden. - Triangle perpendicular hypotenuse
Calculate the perpendicular s in the right triangle STU (the right angle at the vertex U), if the hypotenuse is long u = 93 cm and the perpendicular t = 48 cm - Triangle area grid
Each square of the net has an area of 25 mm². Calculate the area of the DEF triangle in cm². Express the result as a decimal number to three decimal places. - Height and base
An isosceles triangle has an area of 168 cm², and its added height and base are 50 cm. What are the measurements of its height and base? - He tile
The tile has the shape of an isosceles triangle, the base of which is 4 cm long, and the corresponding height is 6 cm long. At least how many tiles are needed to cover a wall containing 2.4 m² - Isosceles triangle area
How many dm² of the area is an isosceles triangle if the angle at the base is 45˚ and the bottom is 10 cm long? - Constructed triangle
The perimeter of the right triangle is 18 cm. The sum of the areas of the squares constructed above its three sides is 128 cm². What is the area of the triangle? - Ladder
Adam placed the ladder of the house, the upper end reaching the window at the height of 3.6 m, and the lower end standing on level ground and distant from a wall of 1.5 m. What is the length of the ladder?
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