Right triangle - 9th grade (14y) - examplesSee also our right triangle calculator.
- How far
From the top of a lighthouse 145 ft above sea level, the angle of depression of a boat 29°. How far is the boat from the lighthouse?
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 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?
Triangle ABC with sides a = 5 cm, b = 3 cm, c = 40mm has a midpoint of K, L, M. How many centimeters is long perimeter of parallelogram KBLM?
- Triangle ABC v2
Area of the triangle is 12 cm square. Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x.
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.
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. ?