Right triangle practice problems - page 63 of 84
Number of problems found: 1671
- Triangular prism
Calculate the surface area and volume of a three-sided prism with a base of a right-angled triangle if its sides are a = 3 cm, b = 4 cm, c = 5 cm, and the height of the prism is v = 12 cm.
- Chimney
The lower circumference of the chimney is 12.57 m, and the top circumference is 5.655 m. The slope of the walls is 87°. Find the height of the chimney.
- Hexagon area
The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area.
- Rhombus 2
Calculate the rhombus area with a height v=48 mm and shorter diagonal u = 60 mm long.
- Eq triangle minus arcs
In an equilateral triangle with a 2cm long side, the arcs of three circles are drawn from the centers at the vertices and radii 1cm. Calculate the area of the shaded part - a formation that makes up the difference between the triangle area and circular cu
- A bridge
The bridge over the river has the shape of an arc. The bridge is 10 feet above the water at the center of the river. At 27 feet from the river's edge, the bridge is 9 feet above the water. How wide is the river?
- A circle 2
A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is r units. The point (-15, y) lies in this circle. What are r and y (or y1, y2)?
- Inscribed circle
Write the equation of an incircle of the triangle KLM if K [2,1], L [6,4], M [6,1].
- Angled cyclist turn
The cyclist passes through a curve with a radius of 20 m at 25 km/h. How much angle does it have to bend from the vertical inward to the turn?
- Diagonals
Given a rhombus ABCD with a diagonal length of 8 cm and 12 cm. Calculate the side length and area of the rhombus.
- Rhombus OWES
OWES is a rhombus, given that OW is 6cm and one diagonal measures 8cm. Find its area?
- An observer
An observer standing west of the tower sees its top at an altitude angle of 45 degrees. After moving 50 meters to the south, he sees its top at an altitude angle of 30 degrees. How tall is the tower?
- Axial cut of a rectangle
Calculate the volume and surface of the cylinder whose axial cut is a rectangle 15 cm wide with a diagonal of 25 cm long.
- Convex lens
The convex lens consists of two spherical segments (dimensions given in mm). Calculate its weight if the density of the glass is 2.5 g/cm³. Dimensions: 60mm in length and width of the upper part 5mm, the width of the lower part 8mm
- The cone
The cone has a base radius of 12 cm and a height of 20 cm. It was truncated at 6 cm from the base. We created a truncated cone - frustum. Find the radius of the base of the truncated cone.
- Rhombus and diagonals
The lengths of the diamond diagonals are e = 48cm f = 20cm. Calculate the length of its sides.
- Rhombus IV
Calculate the length of the diagonals of the rhombus, whose sizes are in the ratio of 1:2 and a rhombus side is 35 cm.
- Climb
The road sign that informs the climb is 10.3%—the car drives 10 km along this road. What is the height difference that the car went?
- Find parameters
Find parameters of the circle in the plane - coordinates of center and radius: x²+(y-3)²=14
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