Square practice problems - page 48 of 153
Number of problems found: 3052
- PT - Pythagorean
A right triangle ABC has hypotenuse c and legs a and b. Estimate the length of the missing side and compare your estimate with the calculated value. a) a = 4 cm; b = 5 cm b) a = 6.8 m; b = 9 m c) a = 8.9 m; b = 1 m d) b = 10 cm; c = 20 cm e) b = 2.5 m; c - Triangle height ratio In the right-angled triangle ABC (AB is the hypotenuse), a : b = 24 : 7, and the height to the side c = 12.6 cm applies. Calculate the lengths of the sides of triangle ABC.
- General triangle
Given a general triangle ABC. Its perimeter is 30 cm, with side a=2 cm longer than side b and 5 cm shorter than side c. Determine the area of the triangle. - Hypotenuse height segments
We know the height of the hypotenuse h = 4 cm and the hypotenuse c = 19 cm in a right triangle. How to calculate the segments of legs - sections on the hypotenuse c1, c2 - Observation angle
At what angle of view does an object 70 m long appear to the observer, 50 m away from one end and 80 m from the other end? - Triangle land fencing
The land has the shape of an obtuse triangle with sides of 40 m, 30, and 60 m. Determine the minimum mesh length for fencing and the land area in ares. - Flowerbed stone calculation
The gardener filled the flowerbed with crushed stone in the shape of an equilateral triangle with an 8-m-long side. If 25 kg of crumb was consumed per 1 m² of the area, how much crumb was used for the whole flower bed? - Ski lift height
What height difference does the 2.5 km long ski lift overcome when the horizontal distance of the entry and exit station is 1200 meters? - Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8 cm, b = 11 cm, c = 12 cm - Triangle RT - land
The land in the shape of a right triangle has an area of 96 m². How many meters of mesh do we need to fence if one of its sides is 12 meters long? - Staircase handrail
Find out if the handrail on a staircase with 20 steps will be longer than 7 m if the step is 32 cm wide and 15 cm high. (1 = Yes, 0 = No) - Steps
How many steps do you save by walking diagonally across a square plot instead of walking along two of its sides, if the full perimeter takes 458 steps? - Sea
How far can you see from the top of a ship's mast that is 9 metres above sea level? (The Earth's radius is 6370 km km.) - Trigonometric functions
In a right triangle, it holds that: tg α= frac(4) 2 Find the values of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20) - Stairway
The stairway has 20 steps. Each step is 22 cm long and 15 cm high. Calculate the length of the handrail of staircases if the top and bottom exceed 10 cm. - Vector
Determine coordinates of the vector u=CD if C[12;-8], D[6,20]. - Triangle angle area
Calculate the size of the largest angle in triangle ABC if a = 7 cm, b = 8 cm, and c = 13 cm. Calculate the area of the triangle, the height per side a. - Garden diagonal length
The garden has a square shape, and its area is 8,100 m². It will be divided by a sidewalk connecting the two opposite garden peaks. How long will this trail be? - A-shaped ladder
An unfolded double ladder (A-shaped rung) is 10 m long. How high will it reach if the painter extends both parts of the ladder and ensures that the two parts of the ladder are 12 m apart on the ground? - The ladder - RT
The ladder 16 feet reaches up 14 feet on a house wall. The 90-degree angle at the base of the house and wall. What are the other two angles or the length of the leg of the yard?
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