Right triangle Problems
Number of problems found: 1258
- A Cartesian framework
1. In a Cartesian framework, the functions f and g we know that: the function (f) is defined by f (x) = 2x ^ 2, the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, point (C) is the point of intersection of the graph
From the aircraft flying at an altitude of 500m, they observed places A and B (located at the same altitude) in the direction of flight at depth angles alpha = 48° and beta = 35°. What is the distance between places A and B?
- Tower's view
From the church tower's view at the height of 65 m, the top of the house can be seen at a depth angle of alpha = 45° and its bottom at a depth angle of beta = 58°. Calculate the height of the house and its distance from the church.
- Metal balls
Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level?
- A triangle 2
A triangle has a base of 2 inches and a height of 2 3/4 inches. What is the area of the triangle?
- Two cables
On a flat plain, 2 columns are erected vertically upwards. One is 7 m high and the other 4 m. Cables are stretched between the top of one column and the foot of the other column. At what height will the cables cross? Assume that the cables do not sag.
- The truncated
The truncated rotating cone has bases with radii r1 = 8 cm, r2 = 4 cm and height v = 5 cm. What is the volume of the cone from which the truncated cone originated?
- Angle of diagonals
Calculate the perimeter and the area of a rectangle if its diagonal is 14 cm and the diagonals form an angle of 130°.
Calculate the area of triangle ABC, if given by alpha = 49°, beta = 31°, and the height on the c side is 9cm.
- Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm.
- Two similar
Two similar triangles, one has a circumference of 100 cm, the second has sides successively 8 cm, 14 cm, 18 cm longer than the first. Find the lengths of its sides.
- Three pillars
On a straight road, three pillars are 6 m high at the same distance of 10 m. At what angle of view does Vlado see each pillar if it is 30 m from the first and his eyes are at 1.8 m high?
- Equilateral triangle
Find the area of an equilateral triangle with a side of 15 cm.
- Triangular land
Jana has a rectangular garden measuring 30 meters by 72 meters that she wants to split diagonally from corner to corner using a fence. How long does her fence need to be?
- Divide an isosceles triangle
How to divide an isosceles triangle into two parts with equal contents perpendicular to the axis of symmetry (into a trapezoid and a triangle)?
- The quadrilateral
The quadrilateral ABCD is composed of two right triangles ABD and BCD. For side lengths: |AD| = 3cm, | BC | = 12cm, | BD | = 5cm. How many square centimeters (area) does the quadrilateral ABCD have? The angles DAB and DBC are right.
- Find the
Find the third interior angle of the triangle ABC where: α = 48°, γ = 65°.
The fenced flower bed has the shape of a regular hexagon. The tops are formed by fence posts. The fence around the flowerbed measures 60 m. A goat is tied to one of the pillars from the outside and grazes on the surrounding meadow (the goat should not ent
Calculate the height to the base of the isosceles triangle ABC if the length of the base is c = 24cm and the arms have a length b = 13cm.
- How to
How to find a total surface of a rectangular pyramid if each face is to be 8 dm high and the base is 10 dm by 6 dm.
See also our right triangle calculator.