Square root - examples
- 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 ?
Trunk diameter is 72 cm. Is it possible to inscribe a square prism with side 54 cm?
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?
- Cube diagonal
Determine length of the cube diagonal with edge 55 dm.
- Circle chord
What is the length d of the chord circle of diameter 58 mm, if distance from the center circle is 24 mm?
- Area of RT
Calculate the area of a right triangle which hypotenuse has length 20 and one hypotenuse segment has lenght 15.
- Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=23 and height v=8?
Once upon a time, tsar owned a money printer and printed and printed. The result of printing money prices went up,in the first year 5.9 %, in the second 2.4%, in the third 5.9% and in the fourth 5.7%. Then tsar was failed in election. Calculate the av
- Square and circles
Square with sides 41 m is circumscribed and inscribed with circles. Determine the radiuses of both circles.
- Geometric progression
Fill 4 numbers between 5 and 295245 to form geometric progression.
- 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.
Use law of square roots roots: ?
- Cube wall
Surface of first cube wall his 361 cm2. Second cube area is 30% of the surface of the first cube. Determine the length of the edge of the second cube (x).
- Numeric question
It is possible negative irrational number?
Calculate the perimeter and area of rhombus whose diagonals are 15 cm and 27 cm long.
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?
7.4 meters long ladder is leaning against the wall of the well and its lower end is 1.1 meters from this wall. How high from the bottom of a well is the top edge of the ladder?
- Quadratic equation
Solve quadratic equation: x2+16x-225=0