Planimetry - math word problems - page 143 of 187
Number of problems found: 3739
- Thales
Thales stands 1 m from the edge of the hole. The eyes are 150 cm above the ground and look into the hole with a diameter of 120 cm, as shown. Calculate the depth of the hole. - Area of RT
Calculate the area of a right triangle in which the hypotenuse has length 14 and one of the segments that the altitude creates on the hypotenuse has length 5. - Proof PT
Can Pythagoras' theorem be easily proved using the Euclidean theorems? If so, do it. - Squares above sides
In a right triangle, the areas of the squares above its sides are 169, 25, and 144. The length of its longer leg is: - Plot plan scale
The square-shaped plot actually covers an area of 81 ares. Maybe draw it in the village plan on a scale of 1:200. What will be the length of the side on the plan? - Construct 8
Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC: The vertices of this triangle are points A (1,7), B (-5,1) C (5, -11). The said problem should be used the concepts of distance from a point to a line, rati - Similarity coefficient
In the triangle TMA, the length of the sides is t = 5 cm, m = 3.5 cm, and a = 6.2 cm. Another similar triangle has side lengths of 6.65 cm, 11.78 cm, and 9.5 cm. Determine the similarity coefficient of these triangles and assign similar sides to each othe - Trapezium diagonals
It is given trapezium ABCD with bases | AB | = 12 cm, |CD| = 8 cm. Point S is the intersection of the diagonals for which |AS| is 6 cm long. Calculate the length of the full diagonal AC. - Shadow and light
Nine meters height poplar tree has a shadow 16.2 meters long. How long does shadow have at the same time as Joe if he is 1,4 m tall? - Rectangular triangles
The lengths of the corresponding sides of two rectangular triangles are in the ratio 2:5. At what ratio are medians relevant to hypotenuse these right triangles? At what ratio are the areas of these triangles? A smaller rectangular triangle has legs 6 and - Triangle creation ways
How many different triangles with vertices formed by points A, B, C, D, E, and F can we create? - An electrician 3
In setting up a wiring job, an electrician ran the following lengths of wire: 340 m, 203 m, 74 m, and 99 m. Find the total length of wire used. - Clock Tower
What angle is between the hands-on Clock Tower when it shows 17 hours and 35 minutes? - Rectangle vs square
One side of the rectangle is 1 cm shorter than the side of the square. The second side is 3 cm longer than the side of the square. The square and rectangle have the same area. Calculate the length of the sides of a square and a rectangle. - Poplar shadow
A nine-metre poplar casts a shadow 16.2 m long. How long a shadow does Peter cast at the same time if he is 1.4 m tall? - Chimney and tree Calculate the height of the factory chimney, which casts a shadow of 6.5 m long in the afternoon. At the same time, a 6 m high tree standing near it casts a shadow 25 dm long.
- Display case
Place a glass shelf at the height of 1 m from the bottom of the display case in the cabinet. How long platter will we place at this height? The display case is a rectangular triangle with 2 m and 2.5 m legs. - Rhombus construction
Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it, touching all sides. - Laws
From which law does the validity of Pythagoras' theorem in a right triangle directly follow? ... - Snowman column shadow
Near the lamppost, the children built a 1.65 m tall snowman. The snowman's shadow is 135 cm long. The shadow of the lamppost is 4.05 m. How tall is the lamppost?
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