# Triangle Problems

#### Number of problems found: 1067

• Sphere cuts
At what distance from the center intersects sphere with radius R = 56 plane, if the cut area and area of the main sphere circle is in ratio 1/2.
• Tangents
To circle with a radius of 41 cm from the point R guided two tangents. The distance of both points of contact is 16 cm. Calculate the distance from point R and circle centre.
• Triangle angles
The angles α, β, γ in triangle ABC are in the ratio 6:2:6. Calculate size of angles.
• RT - hypotenuse and altitude
Right triangle BTG has hypotenuse g=117 m and altitude to g is 54 m. How long are hypotenuse segments?
• Triangles
Equilateral triangle with side 40 cm has the same perimeter as an isosceles triangle with arm of 45 cm. Calculate the base x of an isosceles triangle.
• Triangle SAA
The triangle has one side long 71 m and its two internal angles is 60°. Calculate the perimeter and area of the triangle.
• Steeple
Steeple seen from the road at an angle of 75°. When we zoom out to 25 meters, it is seen at an angle of 20°. What is high?
• Right triangle
Legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
• Heron backlaw
Calculate missing side in a triangle with sides 17 and 34 and area 275.
Ladder 8 m long is leaning against the wall. Its foot is 1 m away from the wall. In which height ladder touches the wall?
• Circle chord
What is the length x of the chord circle of diameter 115 m, if the distance from the center circle is 11 m?
• Cube diagonal
Determine the length of the cube diagonal with edge 37 mm.
• Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 377 cm.
• Square and circles
Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles.
• Triangle ABC
Right triangle ABC with right angle at the C, |BC|=18, |AB|=33. Calculate the height of the triangle hAB to the side AB.
• Triangle SAS
Calculate the area and perimeter of the triangle, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.
• N-gon angles
What is the sum of interior angles 8-gon? What is the internal angle of a regular convex 8-polygon?
• Square diagonal
Calculate the length of the square diagonal if the perimeter is 476 cm.
• Triangle SSS
Calculate perimeter and area of ​​a triangle ABC, if a=53, b=46 and c=40.