# Square root - examples

- Cube and sphere

Cube with the surface area 150 cm2 is described sphere. What is sphere surface? - 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 ? - Logs

Trunk diameter is 72 cm. Is it possible to inscribe a square prism with side 54 cm? - Diagonal

Calculate the length of the diagonal of the rectangle ABCD with sides a = 7 cm, b = 6 cm. - Ladder

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. - Inflation

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 h_{AB}to the side AB. - Root

Use law of square roots roots: ? - Cube wall

Surface of first cube wall his 361 cm^{2}. 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? - Garden

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. - Rhombus

Calculate the perimeter and area of rhombus whose diagonals are 15 cm and 27 cm long. - Quadratic equation

Solve quadratic equation: x^{2}+16x-225=0

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