9th grade (14y) + Pythagorean theorem - examplesPythagorean theorem is the base for the right triangle calculator.
One angle of a rhombus is 136° and the shorter diagonal is 8 cm long. Find the length of the longer diagonal and the side of the rhombus.
- Rectangular trapezoid
The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the circumference and area of a trapezoid.
The rectangle has a perimeter 75 cm. Diagonal length is 32.5 cm. Determine the length of the sides.
- The rope
A 68 centimetre long rope is used to make a rhombus on the ground. The distance between a pair of opposite side corners is 16 centimetres what is the distance between the other two corners?
Calculate the length of side, circumference and area of a regular pentagon, which is inscribed in a circle with radius r = 6 cm.
- Proof PT
Can you easy prove Pythagoras theorem using Euclidean theorems? If so, do it.
Trunk diameter is 72 cm. Is it possible to inscribe a square prism with side 54 cm?
- Right Δ
Right triangle has length of one leg 7 cm and length of the hypotenuse 25 cm. Calculate the height of the triangle.
- MO SK/CZ Z9–I–3
John had the ball that rolled into the pool and it swam in the water. Its highest point was 2 cm above the surface. Diameter of circle that marked the water level on the surface of the ball was 8 cm. Determine the diameter of John ball.
Calculate the length of the diagonal of the rectangle ABCD with sides a = 7 cm, b = 6 cm.
Railways climb 5.8 ‰. Calculate the height difference between two points on the railway distant 2389 meters.
- Cube diagonal
Determine length of the cube diagonal with edge 91 dm.
- Square diagonal
Calculate length of the square diagonal if the perimeter is 200 cm.
- Square diagonal
Calculate the length of diagonal of the square with side a = 23 cm.
- Circle chord
What is the length d of the chord circle of diameter 58 mm, if distance from the center circle is 24 mm?
What acreage has a rectangular plot whose diagonal is 34 meters long and one side has a length of 16 meters. ?
- Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=23 and height v=8?
Determine the radius of the circumscribed circle to the right triangle with legs 3 cm and 10 cm.
Area of square garden is 6/7 of triangle garden with sides 96 m, 60 m and 60 m. How many meters of fencing need to fence a square garden?
Calculate the perimeter and area of rhombus whose diagonals are 15 cm and 27 cm long.