Planimetrics - math word problems - page 174 of 183
Number of problems found: 3656
- Angles
Find the interior angles of a rhombus with area 72 cm² and perimeter 48 cm. - Construction 55311
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. - Hypotenuse 84015
In a right triangle ABC, the hypotenuse c = 8 cm and the side b = 4 cm. What is the size of angle α? - N-gon II
What is the side length of the regular 9-gon circumscribed circle of radius 13 cm? - Slope of track
Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and Horná štubňa (624 m AMSL) if the track is 37 km long. - 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. - The ladder
The ladder makes an angle of 2°30' with the wall and reaches a height of 2.3 m. How far is the ladder from the wall?
- Segments on the hypotenuse
A right triangle ABC has a hypotenuse of c=26cm. How many segments does the height vc=12 cm cut out on the hypotenuse c? What are the lengths of the sides a and b? What are the angles at the vertices A and B? - Poisson distribution - daisies
The meadow behind FLD was divided into 100 equally large parts. Subsequently, it was found that there were no daisies in ten of these parts. Estimate the total number of daisies in the meadow. Assume that daisies are randomly distributed in the meadow. - Parallelogram 44
Parallelogram ABCD has an area of 32 cm2, lABl=8cm, lBCl=5cm. Calculate the sizes of its interior angles. - View angle
We see the tree on the opposite bank of the river at an angle of 15° from a distance of 41 meter from the river bank. From the bank of the river, we can see at an angle of 31°. How tall is the tree? - Two triangles SSA
We can form two triangles with the given information. Use the Law of Sines to solve the triangles. A = 59°, a = 13, b = 14 - Side c
In △ABC a=1, b=6 and ∠C=110°. Calculate the length of the side c. - Circle's 81078
The chord of a circle is 233 long, and the length of the circular arc above the chord is 235. What is the circle's radius, and what is the central angle of the circular arc? - Calculate 2
Calculate the largest angle of the triangle whose sides are 5.2cm, 3.6cm, and 2.1cm
- Forces
Forces with magnitudes F1 = 42N and F2 = 35N act at a common point and make an angle of 77°12'. How big is their resultant? - ABCDEFGHIJKL 8426
The given is a regular hexagonal prism ABCDEFGHIJKL, which has all edges of the same length. Find the degree of the angle formed by the lines BK and CL in degrees. - 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. - Q-Exam
If tg α = 8.6, Calculating sin α, cos α, cotg α . - Directional 2595
Calculate the interior angles of triangle ABC using vectors. Coordinates A [2; 4] B [4; 6] C [0; -4]. Calculate directional vectors of sides, parametric and general equations of sides, parametric and general equations of lines, calculate area, calculate h
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