Practice problems of the triangle - page 57 of 117
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. The sum of the measures of the interior angles of a triangle is always 180 degrees. An exterior angle of a triangle is an angle that is a linear pair (and hence supplementary) to an interior angle. The best known area formula is T = a*h /2 where a is the length of the side of the triangle, and h is the height or altitude of the triangle.Number of problems found: 2328
- Christmas napkins
The girls embroidered Christmas napkins. Each napkin had a triangle shape with 5 dm, 60 cm, and 800 mm sides. How many cms did the girls sew if they made 15 napkins? - Aircraft
The plane flies at altitude 6300 m. At the time of the first measurement was to see the elevation angle of 21° and the second measurement of the elevation angle of 46°. Calculate the distance the plane flew between the two measurements. - Horizontal 26131
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? - Clouds
We see the cloud under an angle of 26°10' and the Sun at an angle of 29°15'. The shade of the cloud is 92 meters away from us. Approximately at what height is the cloud?
- Calculate 24201
Calculate the surface area, volume, and length of the body diagonal of a cube with an edge length of 4 dm. - Dimensions 4703
The block has dimensions l = 5 cm, w = 4 cm, and h = 3 cm. Calculate the length of its body diagonal. - An equilateral
An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle? - The cone - S,V
Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm. - Pilot
How high is the airplane's pilot to see 0.001 of Earth's surface?
- Surface area 6
Find the surface area of a prism whose bases are right triangles with sides of length 3, 4, and 5 inches and a height of 8 inches. Include a sketch - Cone
Calculate the volume of the rotating cone with a base radius of 26.3 cm and a side 38.4 cm long. - Vector
Calculate the length of the vector v&; 8407; = (9.75, 6.75, -6.5, -3.75, 2). - Observation 76644
From the smaller observation tower, we see the top of the larger tower at an elevation angle of 23°, and the difference in their heights is 12 m. How far apart are the observation towers? - Horizontal 66434
The lower station of the cable car in Smokovec is at an altitude of 1025m, and the upper station at Hrebienk is at an altitude of 1272m. Calculate the climb of the cable car if the horizontal distance between the slopes is 1921m.
- Maggie
Maggie observes a car and a tree from a window. The angle of depression of the car is 45 degrees, and that of the tree is 30 degrees. If the distance between the vehicle and the tree is 100 m, find Maggie's distance from the tree. - Juice box
The juice box has a volume of 200ml, with its base being an isosceles triangle with sides a = 4,5cm and a height of 3,4cm. How tall is the box? - How far
From the top of a lighthouse 145 ft above sea level, the angle of depression of a boat is 29°. How far is the boat from the lighthouse? - Find diagonal
Find the diagonal length of a cuboid with length=20m, width=25m, and height=150m. - Tetrahedron 5844
Calculate the surface area of a regular tetrahedron whose height is 9 cm.
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