Similarity of triangles - practice problems - last page
Number of problems found: 147
- Boat
A force of 300 kg (3000 N) is required to pull a boat up a ramp inclined at 14° with horizontal. How much does the boat weigh? - Railways
Railways climb 2.8 ‰. Calculate the height difference between two points on the railway distant 5997 meters. - Reverse Pythagorean theorem
Given are the lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 77 dm, 85 dm, 36 dm ... Δ DEF: 55 dm, 82 dm, 61 dm ... Δ GHI: 24 mm, 25 mm, 7 mm ... Δ JKL: 32 dm, 51 dm, 82 dm ... Δ MNO: 51 dm, 45 - Similarity
Are two right triangles similar if the first one has an acute angle 70° and the second one has an acute angle 20°?
- Climb
The road sign which informs the climb is 8.7%—the car drive 5 km along this road. What is the height difference that the car went? - Cone
The circular cone of height 15 cm and volume 5699 cm³ is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut. - Climb
The road has climbing 1:27. How big is an angle correspond to this climbing?
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