Triangle practice problems - page 48 of 125
Number of problems found: 2492
- Right triangle generator
Detective Harry Thomson found on the Internet a generator of the lengths of the sides of right triangles according to which he must apply: a = 2xy, b = x² - y², c = x² + y², where are natural numbers and x & gt; y. Is it a working generator?
- Garden
The square garden area is 2/9 of a triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing are needed to fence a square garden?
- 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.
- Shadow - an observation tower
How tall is the observation tower if it casts a shadow 9.6 m long at exactly the same moment that a half-meter pole casts a shadow 30 cm long?
- Simultaneously 82583
The crane lifts the load in a uniform, straight line to a height of 8 m and simultaneously moves in a horizontal direction to a distance of 6 m. What path did the load cover? What was the resulting velocity of the load if it took 50 seconds to move it
- Right-angled 5804
We sorted the lengths of the sides of the two triangles by size: 8 cm, 10 cm, 13 cm, 15 cm, 17 cm, and 19 cm. One of these two triangles is right-angled. Calculate the perimeter of this right triangle in centimeters
- Hypotenuse 4221
Find the set of points formed by the center of gravity of right triangles with the same hypotenuse (build several possible triangles into one image).
- Cone slope
Determine the volume and surface area of a cone whose slope of length 8 cm makes an angle of 75 degrees with the plane of the base.
- An equilateral cone
Determine the radius and height (in centimeters) of an equilateral cone that has a volume of 1 liter.
- Triangular prism
Calculate the volume of a triangular prism 10 cm high, the base of which is an equilateral triangle with dimensions a = 5 cm and height va = 4,3 cm
- Balloon flight
From the pilgrimage, Nikola has a balloon on a two-meter-long string, the end of which is held 60 cm above the ground. The balloon floats diagonally from Nikola and is 145 cm horizontally away from her. How high is the balloon from the ground?
- Infinite sum of areas
An equilateral triangle A1B1C1 is constructed above the height of the equilateral triangle ABC is constructed as. Above the height of the equilateral triangle A1B1C1 is built triangle A2B2C2, and so on. The procedure is repeated continuously. What is the
- Sum of squares
The sum of squares above the sides of the rectangular triangle is 900 cm². Calculate the area of the square over the triangle's hypotenuse.
- Steps
How many steps do you save if you go square estate for diagonal (crosswise) rather than circumvent the two sides of its perimeter with 458 steps?
- Dedicated 62673
The street lamp is 5.5 m high. It suddenly stopped shining. How long do ladders need workers if they know that dedicated lamps can be placed at a distance of 18 dm at the bottom?
- Mirror
How far must Paul place a mirror to see the top of the tower 12 m high? The height of Paul's eyes above the horizontal plane is 160 cm, and Paul is from the tower distance of 20 m.
- Cosine
Calculate the cosine of the smallest internal angle in a right-angled triangle with cathetus 3 and 8 and the hypotenuse 8.544.
- Climb
The road has climbing 1:28. How big is the angle that corresponds to this climbing?
- Perimeter of RT
Find the circumference of the rectangular triangle if the sum of its legs is 22.5 cm and its area is 62.5 cm².
- 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.
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