Right triangle + power - practice problems
Number of problems found: 76
- Trigonometric fx
When an acute angle φ is in the standard position, its terminal side passes through point P (1,3). Find trigonometric functions of angle θ : sin φ, cos φ, tan φ, cotan φ. - Triangle 82
Triangle PQR has vertices located at (2, 2), (5, -4), and (-4, -1). What type of triangle is triangle PQR? - Short cut
Imagine that you are going to a friend. That path has a length 120 meters. Then turn doprava and go other 630 meters, and you are at a friend's. The question is, how much will the journey be shorter if you go direct across the field? - 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?
- Trip with compass
During the trip, Peter went 5 km straight north from the cottage, then 12 km west, and finally returned straight to the cottage. How many kilometers did Peter cover during the whole trip? - Triangle KLM
In the rectangular triangle KLM, where is hypotenuse m (sketch it!). Find the length of the leg k and the height of triangle h if the hypotenuse's segments are known MK = 5cm and ml = 15 cm. - 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? - 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? - Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
- 60-meter-long 8472
A 60-meter-long rope anchors the column at 3/4 of its height. The rope is anchored in the ground at a distance of 15 meters from the base of the column. Calculate the height of the column (in tenths). - Right-angled 5804
We sorted the lengths of the sides of the two triangles by size: 8 cm, 10 cm, 13 cm, 15 cm, 17 cm, and 19 cm. One of these two triangles is right-angled. Calculate the perimeter of this right triangle in centimeters - Sum of squares
The sum of squares above the sides of the rectangular triangle is 900 cm². Calculate the area of the square over the triangle's hypotenuse. - 30-meter 45481
The 30-meter tree broke. Its top fell 5m from the trunk. At what level did it break? - Circumference 4421
The area of an equilateral triangle is 81 times three below the square root of cm². Calculate its circumference.
- Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side. - AP RT triangle
The length of the sides of a right triangle forms an arithmetic progression, and the longer leg is 24 cm long. What are the perimeter and area? - Calculate 27441
Calculate the length of the side of the square if the size of the diagonal u = 9.9 cm is entered. - Square
Rectangular square has side lengths 183 and 244 meters. How many meters will measure the path that leads straight diagonally from one corner to the other? - Right isosceles
Calculate the area of the isosceles right triangle whose perimeter is 26 cm.
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