Right triangle practice problems - page 71 of 86
Number of problems found: 1716
- Equilateral triangle
How long should the minimum radius of the circular plate be cut into an equilateral triangle with side 21 cm from it?
- Right triangle from axes
A line segment has its ends on the coordinate axes and forms a triangle of area equal to 36 square units. The segment passes through the point ( 5,2). What is the slope of the line segment?
- Again saw
We have a sculpture beam from the tree trunk with a rectangular cross-section with dimensions 91 mm and 87 mm. What is the trunk's smallest diameter?
- Regular n-gon
Which regular polygon has a radius of circumscribed circle r = 10 cm and the radius of inscribed circle p = 9.962 cm?
- Rectangle
The rectangle is 21 cm long and 38 cm wide. Find the radius of the circle circumscribing the rectangle.
- Octagonal pyramid
Find the volume of a regular octagonal pyramid with height v = 100 and the angle of the side edge with the base plane is α = 60°.
- Rhombus 47
A rhombus has a side length of 5 m and a longer diagonal length of 8 m. What is the length of the shorter diagonal of the rhombus?
- Diagonals of pentagon
Calculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12dm; b) a circumscribed circle with a radius of 12dm.
- Hexagon A
Calculate the area of a regular hexagon inscribed in a circle with radius r=15 cm.
- Wall and body diagonals
Calculate the lengths of the wall and body diagonals of the cuboid with edge dimensions of 0.5 m, 1 m, and 2 m
- triangle 5420
Two pairs of parallel lines, AB to CD and AC to BD, are given. Point E lies on the line BD, point F is the midpoint of the segment BD, point G is the midpoint of the segment CD, and the area of the triangle ACE is 20 cm². Determine the area of triangl
- Centimeters 6596
The jewelry box is in the shape of a four-sided prism with the base of an isosceles trapezoid with sides a=15 centimeters, b is equal to 9 centimeters, c is equal to 10 centimeters, c is equal to 7 whole 4 centimeters. How much fabric is needed to cover a
- Intersect 6042
Two circles with straight radii of 58 mm intersect at two points. Their common string is 80 mm long. What is the distance of the centers of these circles?
- Calculate 6566
Calculate the surface area and volume of a regular hexagonal pyramid whose base edge is 10 cm long and the side edge is 26 cm long.
- Calculate 6331
The regular hexagonal pyramid has a base edge of 20 cm and a side edge of 40 cm. Calculate the height and surface of the pyramid
- Horizontally 8187
We turn the prism-shaped box with a height of 1 m and a square base with an edge of 0.6 m under a force of 350 N, which acts horizontally compared to the upper edge. What is the weight of the box?
- Circumscribed 2671
The circle's radius circumscribed by the rectangle is 5 cm, and one side of the rectangle is 6 cm long. Calculate the length of the other side and the area of the rectangle.
- Embankment
The railway embankment is 300 m long and has a cross-section of an isosceles trapezoid with bases of 14 m and 8 m. The trapezoidal arms are 5 m long. Calculate the amount of soil in the embankment in m³.
- Parallelogram 82626
Calculate the area of a parallelogram if we know the perimeter is 23 cm, the diagonal is 8.5 cm, and one side is 1.5 cm longer.
- Ladder
A 4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall?
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