Square (second power, quadratic) - examples
- Is right?
Is triangle with sides 24, 51 and 45 right triangle?
The root of the equation ? is: ?
- 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 ?
Calculate the surface cube with edge 25 mm.
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?
- Circle chord
What is the length d of the chord circle of diameter 58 mm, if distance from the center circle is 24 mm?
Is true for any number a,b,c,d equality:? ?
If the product twice price cut by 20%, what percentage was price cut in total?
- Similarity of squares
The ratio of the similarity of the squares ABCD and KLMN is 2.5. Square KLMN area is greater than area of a square ABCD with side a: ?
- 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.
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?
- Trapezium zoom
How many times increase area of trapezoid if all sides and altitude increase 3 times?
Rectangular square has side lengths 81 and 108 meters. How many meters will measure the path that leads straight diagonally from one corner to the other?
- Without Euclid laws
Right triangle ABC with right angle at the C has a=10 and hypotenuse c=27. Calculate the height h of this triangle without the use of Euclidean laws.
- Sand pile
Auto sprinkled with sand to approximately conical shape. Workers wanted to determine the volume (amount of sand) and therefore measure the circumference of the base and the length of both sides of the cone (over the top). What is the volume of the sand c
Calculate the coordinates of the circle center: ?
How big is area of circle if its circumference is 58.7 cm?
- Special cube
Calculate the edge of cube, if its surface and its volume is numerically equal number.
To circle with a radius of 98 dm from the point A guided two tangents. The distance of both points of contact is 155 dm. Calculate the distance from point A and circle centre.
From the crossing of two perpendicular roads started two cyclists (each at different road). One runs at average speed 18 km/h, the second at average speed 24 km/h. Determine the distance between them after 30 minutes cycling.