Planimetry - math word problems - page 173 of 187
Number of problems found: 3739
- Triangle construction procedure
Construct a KLM triangle where side k is 6.7 cm, the line to the k side is 4.1 cm, and the LKM angle is 63 degrees. Write the construction procedure. - Center of gravity
Find the set of points formed by the center of gravity of right triangles with the same hypotenuse (build several possible triangles into one image). - Triangle tangent area
The tangent of the angle formed by the adjacent sides of the triangle ABC (side a=29 m, b = 40 m) equals 1.05. Calculate the area of that triangle. - Big tower
From a tower 15 meters high and 30 meters away from the river, the width of the river appeared at an angle of 15°. How wide is the river in this place? - Circumscribed decagon
In a regular decagon, the diameter of the circumscribed circle measures 10 cm. Determine the radius of the circle inscribed in this decagon. - A dodecagon
Find the surface area of a regular 12-sided polygon if its side is a = 12 cm. - The ladder
The ladder has a length of 3 m and is leaning against the wall, and its inclination to the wall is 45°. How high does it reach? - Parallelogram - area
Calculate the area of the parallelogram if a = 57 cm, the diagonal u = 66 cm, and the angle against the diagonal is beta β = 57°43' - Building elevation angle
In the building, I focused at an angle 30°. When I moved the 5 m building, I focused at an angle 45°. What is the height of the building? - Triangle TBC
TBC is an isosceles triangle with base TB, base angle 75°, and equal legs |TC| = |BC| = 35. How long is the base TB? - Chord MN
Chord MN of a circle has a distance of 28 cm from the centre S. Angle MSN is 54°. Determine the radius of the circle. - Segments on the hypotenuse
A right triangle ABC has a hypotenuse c = 26 cm. The altitude from C to the hypotenuse is h_c = 12 cm. What are the lengths of the two segments of the hypotenuse? What are the lengths of sides a and b? What are the angles at vertices A and B? - Pentagon
Calculate the length of a regular pentagon's side, circumference, and area, inscribed in a circle with a radius r = 6 cm. - Perimeter of a circle segment
A circle with a diameter of 30 cm is cut by a chord t = 16 cm. Calculate the perimeter and area of the smaller segment. - Trigonometric functions
In a right triangle, it holds that: tg α= frac(4) 2 Find the values of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20) - Diamond height angle
What is the height of a diamond with a side 6 cm long if the angle formed by the sides is 78 degrees and 10 '? - View angle - river The 15 m high building is 30 m away from the river bank. The river's width can be seen from the roof of this building at an angle of 15°. How wide is the river?
- Diamond and angles
The interior angles of the rhombus are 60° and 120°. Its side is 5 cm long. Find the area of the rhombus. - Two chords
From the point on the circle with a diameter of 8 cm, two identical chords are led, which form an angle of 60°. Calculate the length of these chords. - Decagon area
Find the area of a regular decagon if its side is 10 cm in size.
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