Planimetrics - math word problems - page 152 of 185
Number of problems found: 3698
- Rhombus construction
ABCD rhombus construction entered: a + b = 9 cm; AC = 4.5 cm; height ha = 3.5 cm How long do sides a and b measure? - Triangle midpoints
Determine coordinates of triangle ABC vertices if we know triangle sides midpoints SAB [0;3] SBC [1;6] SAC [4;5], its sides AB, BC, AC. - Center
Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[-19,3] B[-20,25] C[22,10]. - Crossroads
A passenger car and an ambulance come to the rectangular crossroads, and the ambulance leaves. The passenger car is moving at 39 km/h, and the ambulance is moving at 41 km/h. Calculate the relative speed of the ambulance moving to the car. - MO-I-Z6
A square with a side of 4 cm is divided into squares with a side of 1 cm as shown in the figure. Divide the square along the marked lines into two figures with a perimeter of 16 cm. Find at least three different solutions (i.e. three such solutions that n - Plot
The plot on which Mr. Kalous is to build a house has the shape of a rectangle. On a 1:500 scale, its dimensions are 7cm and 5.5cm. Find out the dimensions of the plot. Calculate the parcel size. - The triangle 5
The triangle below has vertices A(-1,-2), B(2,2), and C(-1,4). What is the area of △ABCin square coordinate units? - Tournament match calculation
The long-term volleyball tournament is played one-on-one. So far, 11 teams have entered the competition. How many matches will be lost when two teams unsubscribe? - Living room plan
The drawing of the apartment is in the ratio of 1:200. The living room has dimensions of 2cm x 3cm in the picture. How many square meters does the living room have? - Plan of the village
The plan of the municipality in 1:1000 scale has plotted garden with dimensions 25 mm and 28 mm. Determine the area of gardens in ares in reality. - Triangle angle bisector
In the triangle, ABC, the angles alpha and beta axes subtend the angle phi = R + gamma/2. R is a right angle of 90°. Verify. - Trapezoid - construction
Construct a trapezoid ABCD (AB // CD): | AB | = 7cm | BC | = 3.5cm | CD | = 4cm The magnitude of the angle ABC = 60° - Construct rhombus
Construct rhombus ABCD if given diagonal length | AC | = 8cm, inscribed circle radius r = 1.5cm - Two heights and a side
Construct triangle ABC when the given side is c = 7 cm, height to side a va = 5 cm, and height to side b: vb = 4 cm. - Ruler and compass
Use a ruler and compass to construct a triangle ABC with AB 5cm BAC 60° and ACB 45°. - Coordinates of a centroind
Let A = [3, 2, 0], B = [1, -2, 4], and C = [1, 1, 1] be 3 points in space. Calculate the coordinates of the centroid of △ABC (the intersection of the medians). - Triangles
Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle? - Trapezoid coordinate drawing
Draw a trapezoid in the coordinate system with bases 4cm long, 2cm long, and 3cm high. Please write down the coordinates of its vertices. - Concentric circle construction
Construct three concentric circles k, l, m with center at point S and with radii 2cm, 3cm, and 40mm - Tangent Circle Construction Point
A circle k (S; 2.5 cm) and a point L are given if | SL | = 4cm. Make a tangent to the circle passing through point L.
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