Right triangle - problemsSee also our right triangle calculator.
- Right Δ
Right triangle has length of one leg 7 cm and length of the hypotenuse 25 cm. Calculate the height of the triangle.
Points A[1,5] and B[-4,-5] are adjacent vertices of the square ABCD. Calculate area of the square ABCD.
- Slope of track
Calculate the average slope of the rail tracks between Prievidza (309 m AMSL) and Bratislava (152 m AMSL), if the track is 158 km long.
To circle with a radius of 98 dm from the point A guided two tangents. The distance of both points of contact is 155 dm. Calculate the distance from point A and circle centre.
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 23 cm and tb=14 cm.
- R Trapezium
Rectangular trapezium has bases 17 and 7 and area 80 cm2. What is its perimeter?
- Triangular prism
Plane passing through the edge AB and the center of segmet CC' of regular triangular prism ABCA'B'C', has angle with base 50 degrees, |AB| = 5 cm. Calculate the volume of the prism.
- Cut and cone
Calculate the volume of the rotation cone which lateral surface is circle arc with radius 14 cm and central angle 66 degrees.
- Hypotenuse and height
In a right triangle is length of the hypotenuse c = 45 cm and height hc = 19 cm. Determine the length of both trangle legs.
In right triangle ABC with right angle at C is given side a=29 and height v=27. Calculate the perimeter of the triangle.
Legs of a right triangle have dimensions 61 m and 39 m. Calculate the length of the hypotenuse and the height of this right triangle.
- EQL triangle
Calculate inradius and circumradius of equilateral triangle with side a=100 cm.
- Descent of road
Road sign informs the gradient is 10.5%. Calculate the angle which average decreases.
Calculate distance between two points Z[7; -9] and U[-10; -8].
Calculate the perimeter of a regular nonagon (9-gon) inscribed in a circle with a radius 20 cm.
- Height 2
Calculate the height of the equilateral triangle with side 43.
- Rhombus base
Calculate the volume and surface area of prisms whose base is a rhombus with diagonals u1 = 22 cm and u2 = 15 cm. Prism height is twice base edge length.
- Height difference
What height difference overcome if we pass road 1 km long with a pitch21 per mille?
- Field with vegetables
Field planted with vegetables has shape of a rectangular isosceles triangle with leg length of 24 m. At the vertices of the triangle are positioned rotating sprinklers with a range of 12 m. How much of the field sprinkler doesn't irrigated?
- Pine wood
From a trunk of pine 6m long and 35 cm in diameter with a carved beam with a cross-section in the shape of a square so that the square had the greatest content area. Calculate the length of the sides of a square. Calculate the volume in cubic meters of lum