# Triangle - problems

See also our trigonometric triangle calculator.- Square and circles

Square with sides 82 km is circumscribed and inscribed with circles. Determine the radiuses of both circles. - Laws

From which law follows directly the validity of Pythagoras' theorem in the right triangle? ? - Kites

Boys run kite on a cable of 86 meters long. What is the kite altitude, if the angle from the horizontal plane is 77°? - Isosceles right triangle

Calculate the area of an isosceles right triangle whose perimeter is 236 dm. - n-gon II

What is the side length of the regular 9-gon circumscribed circle of radius 13 cm? - Side c

In △ABC a=3, b=8 and ∠C=70°. Calculate length of the side c. - Triangle and its heights

Calculate the length of the sides of the triangle ABC, if v_{a}=13 cm, v_{b}=17 cm and side b is 5 cm shorter than side a. - Geodesist

Triangle shaped field (triangle ABC) has side AB = 51 m. path XY is parallel to the side AB which divided triangle ABC into two parts with same area. What will be the length of the path XY? Help please geodesist ... - Rhombus 2

Calculate the area of rhombus which has a height v=48 mm and shorter diagonal u = 60 mm long. - Triangle TBC

TBC is isosceles triangle with base TB with base angle 52° and legs length |TC| = |BC| = 30. How long is the base TB? - Aircraft

The plane flies at altitude 6800 m. At the time of first measurement was to see the elevation angle of 20° and second measurement of the elevation angle of 34°. Calculate the distance the plane flew between the two measurements. - Diagonal

Can be a diagonal of diamond twice longer than it side? - Funnel

The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 8.3 liters of water. - Triangle

Calculate the area of the triangle ABC if b = c = 20 cm, R = 21 cm (R is the circumradius). - Isosceles trapezoid

Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 9 cm, height v = 14 cm and |CAB| = 29°. Calculate area of the trapezoid. - Diamond

Side length of diamond is 35 cm and the length of the diagonal is 56 cm. Calculate the height and length of the second diagonal. - Climb

For horizontal distance 3 km road rise by 5.4 m. Calculate the road pitch in ‰ (permille, parts per thousand). - Angles of the triangle

ABC is a triangle. The size of the angles alpha, beta are in a ratio 4: 7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine angles of the triangle ABC. - Angles

The outer angle of the triangle ABC at the vertex A is 121°5'59″. The outer angle at the vertex B is 137°18'. What size is the internal angle at the vertex C? - Sails

We known heights 220, 165 and 132 of sail. It has triangular shape. What is the surface of the sail?

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