Planimetry - math word problems - page 145 of 187
Number of problems found: 3740
- Triangle similarity area
The area of a right-angled triangle KLM with a right angle at the vertex L is 60 mm square, and its hypotenuse k is 10 mm long. Triangles KLM and RST are similar. The similarity ratio is k=2.5. Calculate the area of triangle RST. - Lighthouse
Marcel (point J) lies in the grass and sees the top of the tent (point T) and, behind it, the top of the lighthouse (P). | TT '| = 1.2 m, | PP '| = 36 m, | JT '| = 5 m. Marcel lies 15 meters away from the sea (M). Calculate the lighthouse distance from th - Wire thickness calculation
The wire is wound into several turns. The thickness of 10 threads is 1 cm. Calculate the wire thickness. - Area of RT
Calculate the area of a right triangle in which the hypotenuse has length 10 and one of the segments that the altitude creates on the hypotenuse has length 5. - Lookout tower
Calculate the height of a lookout tower forming a shadow of 36 m if a column 2.5 m high has a shadow of 1.5 m simultaneously. - Tree Height Shadow Length
A man 1.65 m tall casts a shadow of 1.25 m. How tall is the tree whose shadow is in debt 2.58 m? - Vertical rod
The vertical one-meter-long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long simultaneously. - Frames
A framer is to prepare 23 picture frames with dimensions of 30 cm × 42 cm. The strips from which he makes the frames are 3 metres long. a) How many frames can he make from one strip? b) How many strips will he need? - Triangle side possibilities
Which three lines of a given length can be three sides of a triangle? A / 42 mm; 22 mm; 12 mm; B / 5 cm, 50 mm, 6 cm; C / 10 m, 5 m, 50 dm; D / 2.1 cm, 4.2 cm, 1.9 cm - TV diagonal
A diagonal TV is 0.56 m long. How big is the television screen if the aspect ratio is 16:9? - Triangle arm
Two isosceles triangles have the same angle at the apex concerning the base. One has a 17 cm long arm and a 10 cm long base. The second has a base length of 8 cm. Determine the length of his arm. - Trapezoid - intersection of diagonals
In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area. - Calculate
Calculate the height of a tree that casts a shadow 22 m long if you know that at the same time, a pillar 2 m high casts a shadow 3 meters long. - Vertex of the rectangle
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0 - Largest possible area
A right-angled triangle was inscribed in a circle with a diameter of 20 cm, whose hypotenuse is the circle's diameter and has the largest possible area. Calculate the area of this triangle. - Quadrilateral in circle
A quadrilateral is inscribed in the circle. Its vertices divide the circle in a ratio of 1:2:3:4. Find the sizes of its interior angles. - Triangle area percentage
A right-angled triangle ABC has sides a = 5 cm, b = 8 cm. The similar triangle A'B'C' is 2.5 times smaller. Calculate the percentage of the area of triangle ABC that is the area of triangle A'B'C'. - Galactophone
Grandma Šebestová decided to pass on her secret recipe for gingerbread spice to her 10 grandchildren. And since she is a great trickster, she decided to make it a bit more complicated for them. To each grandchild she sent an old-fashioned paper letter wit - Triangle
Prove whether a triangle ABC with the given properties can be constructed: a=8 cm, b=6 cm, c=10 cm. - Linden shadow height
The length of the linden shadow is 429 cm. The length of the shadow meter is 78 cm. Calculate the height of the linden.
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