Practice problems of the triangle - page 53 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: 2327
- Straight 21243
The straight railway line has a gradient of 16 permille. What is the size of the pitch angle? - Train
The train is running at speeds of 96 km/h. From the beginning of braking to full stop, the train runs for 3.3 minutes. If the train slows the braking equally, calculate the distance from the location where you need to start to brake. - River
Calculate how many permille river Dunaj average falls, if on section long 957 km flowing water from 1454 m AMSL to 101 m AMSL. - Slope of track
Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and $town ($mnm m AMSL) if the track is $s km long.
- Calculate 31991
Calculate the volume and surface of a prism whose height is 16 cm, and the base is in the shape of a right triangle with 5cm and 12cm trunks and a 13cm diaphragm. - Perpendicular prism
Calculate the volume of the vertical prism if its height is 60.8 cm and the base is a rectangular triangle with 40.4 cm and 43 cm legs. - Isosceles 83247
Calculate the lengths of the sides in an isosceles triangle, given the height (to the base) Vc= 8.8cm and the angle at the base alpha= 38°40`. - Loonie
Loonie has three wooden sticks measuring 17 inches, 21 inches, and 25 inches. He lays them down to form a triangle. Find the measure of the angle enclosed by 17 inches and 21 inches. (Express answers to the nearest hundredths) (using the law of cosines) - Diagonals 14073
There are three different points, C, E, and F, in the plane. Please draw the square ABCD when E and F lie on the diagonals of this square. How many solutions does the task have? Thank you
- Truncated cone
Find the volume and surface area of the truncated cone if r1 = 12 cm, r2 = 5 cm, and side s = 10 cm. - The funnel
The funnel has the shape of an equilateral cone. Calculate the area wetted with water if you pour 3 liters of water into the funnel. - Cuboid - volume, diagonals
The length of the one base edge of cuboid a is 3 cm. The body diagonal is ut=13 cm, and the diagonal of the cuboid's base is u1=5 cm. What is the volume of the cuboid? - Pyramid
Pyramid has a base a = 3cm and height in v = 15 cm. a) calculate the angle between plane ABV and the base plane b) calculate the angle between opposite side edges. - Observatories 82707
Target C is observed from two artillery observatories, A and B, 296m apart. At the same time, angle BAC = 52°42" and angle ABC = 44°56". Calculate the distance of the target from observatory A.
- Hyperbola
Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6]. - Right triangle - leg
Calculate the nearest tenth cm leg length in the right-angled triangle with hypotenuse length 9 cm and 7 cm long leg. - Central park in city
The city park has the shape of a rectangle of 180 meters in length and 120 meters in width. People make their walk through the center of the park from one corner to the second. Calculate how many meters this way is shorter than walking along the path arou - A ship
A ship has been spotted by two lighthouses, A and B, as shown in the figure. What is the distance from the ship to Lighthouse A to the nearest tenth? Figure - the distance between lighthouses A and B is 40 nautical miles. From A is seen in view angle 57° - Calculate 44541
Calculate the surface and volume of the cone if you know that the base radius r = 5 dm and the side length s = 7 dm.
Do you have homework that you need help solving? Ask a question, and we will try to solve it.