Triangle practice problems - page 44 of 126
Number of problems found: 2502
- Three points
Three points, K (-3; 2), L (-1; 4), and M (3, -4), are given. Find out: (a) whether the triangle KLM is right b) calculate the length of the line to the k side c) write the coordinates of the vector LM d) write the directional form of the KM side e) write - 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? - Isosceles triangle perimeter
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 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 '= 9.9cm - 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. - Stairway
The stairway has 20 steps. Each step is 22 cm long and 15 cm high. Calculate the length of the handrail of staircases if the top and bottom exceed 10 cm. - Triangle angle area
Calculate the size of the largest angle in triangle ABC if a = 7 cm, b = 8 cm, and c = 13 cm. Calculate the area of the triangle, the height per side a. - Garden diagonal length
The garden has a square shape, and its area is 8,100 m². It will be divided by a sidewalk connecting the two opposite garden peaks. How long will this trail be? - A kite
Children have a kite on an 80m long rope, which floats above a place 25m from the place where children stand. How high is the dragon floating above the terrain? - A-shaped ladder
An unfolded double ladder (A-shaped rung) is 10 m long. How high will it reach if the painter extends both parts of the ladder and ensures that the two parts of the ladder are 12 m apart on the ground? - The ladder - RT
The ladder 16 feet reaches up 14 feet on a house wall. The 90-degree angle at the base of the house and wall. What are the other two angles or the length of the leg of the yard? - Ladder
Adam placed the ladder of the house, the upper end reaching the window at the height of 3.6m, and the lower end standing on level ground and distant from a wall of 1.5m. What is the length of the ladder? - Ladder Length Wall Distance
A ladder leans against the wall. It touches the wall at the height of 240cm. Its lower end is 100 cm distant from the wall. How long is the ladder? - Triangle calculations
Right triangle. Given: side b = 15.8 angle alpha = 15° 11`. Calculate the side a, c, beta angle, and area. - Four ropes
Four ropes anchor the TV transmitter at a height of 44 meters. Each rope is attached 55 meters from the heel of the TV transmitter. Calculate the number of meters of rope used to construct the transmitter. When each attachment is needed, add an extra 1/2- - Forces
Determine the resultant of two perpendicular forces F1 = 560 N and the second force 25% smaller. - Measurements of a triangle
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 50°, b = 30 ft, c = 14 ft - RT and ratio
A right triangle whose legs are in a ratio 7:14 has a hypotenuse 79 m long. How long are its legs? - Triangle
Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17. - Similar triangles
We have similar triangles ABC with angle CAB=45° and angle ACB= 30° and a similar triangle OPN. What is the angle NOP in a similar triangle?
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