Right triangle - 9th grade (14y) - examplesSee also our right triangle calculator.
- Rhombus and diagonals
The a rhombus area is 150 cm2 and the ratio of the diagonals is 3:4. Calculate the length of its height.
- 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.
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.
- OK circle
Calculate the radius (circumradius) of the circle described right triangle with hypotenuse long 8 and one cathetus long 4.
- Circle chord
What is the length d of the chord circle of diameter 58 mm, if distance from the center circle is 24 mm?
Calculate how many promiles river Hudson average falls, if on section long 921 km flowing water from 1224 m AMSL to 154 m AMSL.
- Area of RT
Calculate the area of a right triangle which hypotenuse has length 20 and one hypotenuse segment has lenght 15.
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?
Boys run kite on a cable of 86 meters long. What is the kite altitude, if the angle from the horizontal plane is 77°?
Determine the radius of the circumscribed circle to the right triangle with legs 6 cm and 3 cm.
- Climb in percentage
The height difference between points A and B is 442 m. Calculate the percentage of route climbing if the horizontal distance places A, B is 6.8 km.
- Triangle ABC
Right triangle ABC with right angle at the C, |BC|=20, |AB|=35. Calculate the height of the triangle hAB to the side AB.
The longer leg of a 30°-60°-90° triangle measures 7. What is the length of the shorter leg?