Triangle practice problems - page 19 of 125
Number of problems found: 2492
- Triangle ABC
Calculate the sides of the triangle ABC with an area of 725 cm², and if sides are in a ratio a: b: c = 9:19:11 - Shadow
A meter pole perpendicular to the ground throws a shadow of 40 cm long. The house throws a shadow 6 meters long. What is the height of the house? - Perpendicular and parallel
Find the value of t if 2tx+5y-6=0 and 5x-4y+8=0 are perpendicular and parallel lines. What angle does each line make with the x-axis, and find the angle between the lines? - Construct 4129
Construct a triangle ABC, given the lengths of the sides: c = 8 cm, a = 5 cm and height length hc = 3.5 cm. Perform an analysis, write down the design procedure, perform it, and determine the number of solutions. - Triangle-shaped 30011
Determine the map's scale if the 1.6 km, 2.4 km, and 2.7 km triangle-shaped forests are drawn on the map as a triangle with sides of 32 mm, 48 mm, and 54 mm. - Airport's 80482
The plane flew from airport m on a course of 132° to airport n, then from n to p on a course of 235°. The distance between the airport's mn is 380 km, np 284 km. What will be the return course to m, and what is the distance between the airport's pm? - Triangle's 9731
Solve the triangle ABC if the side a = 52 cm, the height on the other side is vb = 21 cm, and the triangle's area is S = 330 cm². - Triangle 81484
Choose a triangle that is similar to the given triangle. - ∆ TFC= t= 8 cm, f= 9 cm, c= 7 cm. : ∆ PKU= p= 45 cm, k= 35 cm, u= 40 cm. ∆ UPK= u= 40 cm, p= 45 cm, k= 35 cm. ∆ PUK= p= 45 cm, u= 40 cm, k= 35 cm. ∆ KPU= k= 35 cm, p= 45 cm, u= 40 cm. ∆ KUP= k= 35 - Selection 4
Selection triangle, which is similar to the given triangle RTG. ∆ RTG, r= 24 dm, t = 28 dm, g= 30 dm. ∆ SHV= 6 dm, h= 7.5 dm, v= 7 dm ∆ VSH= v= 7 dm, s= 6 dm, h= 7.5 dm ∆ HVS= h= 7.5 dm, v= 7 dm, s = 6 dm. ∆ VHS= v= 7 dm, h = 7.5 dm, s= 6 dm. ∆ HSV= h= 7. - Two similar
There are two similar triangles. One has a circumference of 100 cm, and the second has sides successively 8 cm, 14 cm, and 18 cm longer than the first. Find the lengths of its sides. - Similarity 80742
Calculate the perimeter of triangle ABC if you know that it is similar to triangle EFG in which e=144 mm, f=164 mm, g=92 mm, and the similarity ratio is 4. Express the result in cm. - Dipole - complex power
For a dipole, calculate the complex apparent power S and the instantaneous value of the current i(t), given: R=10 Ω, C=100uF, f=50 Hz, u(t)= square root of 2 * sin( ωt - 30°). Thanks for any help or advice. - Equilateral 26601
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? - Side lengths
In the triangle ABC, the height to side a is 6cm. The height to side b is equal to 9 cm. Side "a" is 4 cm longer than side "b". Calculate the side lengths a, b. - Triangle 15123
In triangle ABC, we know the angle BAC = 50 degrees. What is the angle between the axis of the angle ACB and the axis of the angle CAB? - Binibini
Binibini owns a triangular residential lot bounded by two roads intersecting at 70°. The sides of the lot along the road are 62m and 43m, respectively. Find the length of the fence needed to enclose the lot. (express answers to the nearest hundredths) - The farmer
The farmer would like to first seed his small field. The required amount depends on the seed area. The field has a triangular shape. The farmer had a fenced field, so he knew the lengths of the sides: 73, 117, and 63 meters. Find a suitable way to determi - Two angles
The triangles ABC and A'B'C 'are similar. In the ABC triangle, the two angles are 25° and 65°. Explain why in the triangle A'B'C 'is the sum of two angles of 90 degrees. - Similarity coefficient
Given triangle ABC with sides a = 12 cm b = 9 cm c = 7 cm and triangle DEF with sides d = 8.4 cm, e = 6.3 cm f = 4.9 cm Find out if triangles ABC and DEF are similar if so, write the similarity coefficient and according to which sentence they are similar - Vertical rod
The vertical one-meter-long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long simultaneously.
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