# 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
• Aircraft 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 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°.
• Goat 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 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.

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