Planimetrics - math word problems - page 143 of 185
Number of problems found: 3685
- Similar triangles
The triangles ABC and XYZ are similar. Find the unknown lengths of the sides of the triangles. The lengths: a = 5cm, b = 8cm and x = 7.5cm z = 9cm. - Area of RT
The right triangle has orthogonal projections of legs to the hypotenuse lengths 15 cm and 9 cm. Determine the area of this triangle. - Frames
A framer is to prepare 23 picture frames. The frame will have dimensions of 30 cm and 42 cm. The strips from which he will make the frames are 3 meters long. a) How many frames will he make from one strip? b) How many strips will he need? - Diagonals
What x-gon has 54 diagonals? - Shadow 73354
How long is the shadow of a tree 7.6 m high, and the shadow of a 190 cm high road sign is 3.3 m long? - Two-meter 3473
A tree with an unknown height casts a shadow 18 m long at a time, while a two-meter pole casts a shadow of 2.4 m. How tall is the tree? - Concerning 6294
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. - Triangle 71404
Which three lines of a given length can be three sides of a triangle? A / 42mm; 22mm; 12mm; B / 5cm, 50mm, 6cm; C / 10m, 5m, 50dm; D / 2.1cm, 4.2cm, 1.9cm - Similarity 26441
How long a shadow casts a building 15 m high if the shadow of a meter rod is 90 cm? Sketch - similarity. - Shadow
A meter pole perpendicular to the ground throws a shadow of 40 cm long. The house throws a shadow 6 meters long. What is the height of the house? - 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 '| = 1.2m, | PP '| = 36m, | JT '| = 5m. Marcel lies 15 meters away from the sea (M). Calculate the lighthouse distance from the s - Right-angled 80745
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. - Square-shaped 73564
The map shows a square-shaped field with a side length of 0.7 cm. Its area is 49 ha. Find the scale of the map. - Right-angled 40961
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'. - 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. - Two similar triangles
Find unknown sides of a similar triangles: a = 6cm, b = 8cm, c =?, a '=?, b '= 12cm, c' = 15cm - Inscribed triangle
A circle is an inscribed triangle, and its vertices divide the circle into three arcs. The length of the arcs is in the ratio 2:3:7. Find the interior angles of a triangle. - Circumferential angle
Vertices of the triangle ΔABC lay on the circle and are divided into arcs in the ratio 10:8:7. Determine the size of the angles of the triangle ΔABC. - Calculate 7743
The wire is wound into several turns. The thickness of 10 threads is 1 cm. Calculate the wire thickness. - There
There is a stretched steel cable between the three columns. The height of the first column is 4 m, and the height of the second is 3.5 m. The distance between the first two columns is 2.5 m, and the distance between the second and third is 5 m. The heels
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