Right triangle - examplesSee also our right triangle calculator.
- Sun rays
If the sun's rays are at an angle 60° then famous Great Pyramid of Egypt (which is now high 137.3 meters) has 79.3 m long shadow. Calculate current height of neighboring chefren pyramid whose shadow is measured at the same time 78.8 m and the current hei
- Cube in sphere
The sphere is inscribed cube with edge 8 cm. Find the radius of the sphere.
- Isosceles right triangle
Contents of an isosceles right triangle is 18 dm2. Calculate the length of its base.
Draw a square ABCD whose diagonals have a length of 6 cm
- Isosceles triangle
Calculate area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm.
- Is right?
Is triangle with sides 24, 51 and 45 right triangle?
- Reverse Pythagorean theorem
Given are lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 73 m, 66 m, 51 m ? Δ DEF: 63 cm, 105 cm, 84 cm ? Δ GHI: 50 dm, 48 dm, 14 dm ? Δ JKL: 31 m, 45 m, 40 m ? Δ MNO: 28 m, 53 m, 45 m ?
- Proof PT
Can you easy prove Pythagoras theorem using Euclidean theorems? If so, do it.
- It is rectangular?
Size of two of the angles in a triangle are: α=60°, β=20°. Is it a right triangle?
Can be rectangular triangle equilateral?
Are two right triangles similar to each other if the first one has a acute angle 10° and second one has acute angle 50°?
Is right that in any right triangle height is less or equal half of the hypotenuse?
Trunk diameter is 72 cm. Is it possible to inscribe a square prism with side 54 cm?
- Triangle P2
Can triangle have two right angles?
- Right Δ
Right triangle has length of one leg 7 cm and length of the hypotenuse 25 cm. Calculate the height of the triangle.
Calculate the length of the diagonal of the rectangle ABCD with sides a = 7 cm, b = 6 cm.
Ladder 5 m long is leaning against the wall. It foot is 0.9 m away from the wall. In which height ladder touch the wall?
Railways climb 5.8 ‰. Calculate the height difference between two points on the railway distant 2389 meters.
- Square diagonal
Calculate length of the square diagonal if the perimeter is 200 cm.
- Cube diagonal
Determine length of the cube diagonal with edge 91 dm.