Square root + right triangle - practice problems - page 20 of 21
Number of problems found: 414
- Right Δ
A right triangle has the length of one leg 72 cm and the hypotenuse 90 cm size. Calculate the height of the triangle. - Area of RT
Calculate the right triangle area that hypotenuse has length 14, and one hypotenuse segment has length 5. - Cuboid
Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm³. Calculate the length of the other edges. - Movement
From the crossing of two perpendicular roads started two cyclists (each on a different road). One runs at an average speed of 28 km/h, and the second 24 km/h. Determine the distance between them after 45 minutes of cycling.
- Area of RT
The right triangle has orthogonal projections of legs to the hypotenuse lengths 15 cm and 9 cm. Determine the area of this triangle. - Steps
How many steps do you save if you go square estate for diagonal (crosswise) rather than circumvent the two sides of its perimeter with 458 steps? - Square 2
Points D[10,-8] and B[4,5] are opposed vertices of the square ABCD. Calculate the area of the square ABCD. - Square
Points A[9,9] and B[-4,1] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD. - Cubes
One cube is an inscribed sphere, and the other one is described. Calculate the difference of volumes of cubes if the difference of surfaces in 231 cm².
- Forces
In point, O acts three orthogonal forces: F1 = 20 N, F2 = 7 N, and F3 = 19 N. Determine the resultant of F and the angles between F and forces F1, F2, and F3. - Axial section
The axial section of the cone is an equilateral triangle with an area 208 m². Calculate the volume of the cone. - Rotation
The right triangle with legs 11 cm and 18 cm rotates around the longer leg. Calculate the volume and surface area of the formed cone. - Right isosceles
Calculate the area of the isosceles right triangle whose perimeter is 26 cm. - Pyramid roof
1/3 of the area of the roof-shaped regular tetrahedral pyramid with base edge 8 m and height of 4 m is already covered with roofing. How many square meters still need to be covered?
- Common chord
Two circles with radii 18 cm and 20 cm intersect at two points. Its common chord is long 11 cm. What is the distance of the centers of these circles? - Estate
An estate-shaped rectangular trapezoid has bases long 35 m, 65 m, and perpendicular arm 34 m. Calculate how long its fence is. - Height 2
Calculate the height of the equilateral triangle with side 48. - Trigonometric functions
In the right triangle is: tg α= frac(4) 2 Find the value of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20) - Diagonals of the rhombus
Calculate the height of the rhombus whose diagonals are 18 cm and 6 cm.
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