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 91 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?
- Geometric progression
Fill 4 numbers between 5 and 295245 to form geometric progression.
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
- 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?
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?
- Square and circles
Square with sides 82 km is circumscribed and inscribed with circles. Determine the radiuses of both circles.
Calculate the perimeter and area of rhombus whose diagonals are 15 cm and 27 cm long.
- Quadratic equation
Solve quadratic equation: x2+16x-225=0
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?