Right triangle practice problems - page 27 of 86
Number of problems found: 1712
- Intersection 81457
Two cars started from the right-angled intersection of two roads. The first at a speed of 80 km/h and the second at a speed of 60 km/h. How fast are they moving away from each other?
- Distance 79874
The mast is 190m high and is attached to six ropes which are anchored in the ground at a distance of 20m from the base of the mast. How many meters of rope were needed?
- 30-meter 45481
The 30-meter tree broke. Its top fell 5m from the trunk. At what level did it break?
- Square
Rectangular squares have side lengths of 183 and 244 meters. How many meters is long the path that leads straight diagonally from one corner to the other?
- Calculate
Calculate the height of a tree that casts a shadow 22 m long if you know that at the same time, a pillar 2 m high casts a shadow 3 meters long.
- Graduation of the track
The gradient of the track is 9 per mile, and the distance per kilometer (on the slope) [AC] = is 560m. Determine the angle alpha and the distance [AB] = the height between A and B. A / | B/____________C
- Ladder
How long is a ladder that touches a wall 4 meters high and has a lower part 3 meters away from the wall?
- The right triangle
The right triangle ABC has a leg a = 36 cm and an area S = 540 cm². Calculate the length of the leg b and the median t2 to side b.
- An equilateral
An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle?
- Face of the house
How tall is the roof of a house in the shape of an isosceles triangle with a base length of 8 meters and an arm 5 meters long?
- Cableway
The cableway has a length of 1800 m. The horizontal distance between the upper and lower cable car station is 1600 m. Calculate how much meters altitude is higher upper station than at the base station.
- Square diagonal
Calculate the length of the diagonal of the square with side a = 11 cm.
- R triangle
Calculate the right triangle area whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg.
- ISO Triangle V2
The perimeter of the isosceles triangle is 474 m, and the base is 48 m longer than the arms. Calculate the area of this triangle.
- Segments on the hypotenuse
A right triangle ABC has a hypotenuse of c=26cm. How many segments does the height vc=12 cm cut out on the hypotenuse c? What are the lengths of the sides a and b? What are the angles at the vertices A and B?
- RT area
A right triangle has an area of 54cm². Calculate the sizes of both legs if the shorter leg is 75% of the size of the longer leg.
- 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?
- Hypotenuse
Calculate the length of the hypotenuse of a right triangle if the length of one leg is 4 cm and its area is 16 square centimeters.
- Circumference 83645
The area of a right triangle is 240 cm². Determine its circumference if the given lengths are suspended in a ratio of 5:12.
- Calculate 35911
Calculate the height of the house's roof, which is an isosceles triangle with a base of 8.4 m and arms of 6.5 m.
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