# Practice problems of the triangle - page 2 of 99

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: 1971

- Isosceles 71154

Calculate all interior angles in the isosceles triangle ABC if we know that BC is the base, and we also know: | ∢BAC | = α; | CABCA | = 4α - Function x*tanx

Functions: f(x)=xtanx f(x)=(e^x)/((e^x)+1) Find; i)vertical and horizontal assyptotes iii)the interval of decrease and increase iii)Local maxima and local minima iv)interval of concavity and inflection. And sketch the graph. - Determine 69364

Determine the angle ϕ: ϕ + 71 ° 15 '= 90 ° - Consumption 69174

The roof of the tower has the shape of the shell of a rotating cone with a base diameter of 4.3 m. The deviation of the side from the plane of the base is 36°. Calculate the consumption of sheet metal to cover the roof, assuming 8% for waste. - Instantaneous 69064

Describe how the instantaneous power value in the AC circuit changes during one period. - Calculate 68394

The sizes of the interior angles of the triangle are in the ratio of 3: 4: 5. Calculate these angles. - Building 67654

The 15 m high building is 30 m away from the river bank. The river's width can be seen from the roof of this building at an angle of 15 °. How wide is the river? - Constructed 67424

There are six lines 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm long, two of each length. How many isosceles triangles can be constructed from them? List all options. - Triangular numbers

The first four triangular numbers are 1,3,6,10. What is the 10th triangular number? Help: A triangular number or triangle number counts objects arranged in an equilateral triangle. - 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. - Perimeter 66414

The perimeter of triangle ABC is 162 dm. The lengths of its sides are in the ratios a: b = 2: 3 and a: c = 8: 7. Determine the lengths of the sides of the triangle. - Isosceles 65784

An isosceles triangle has an angle of 78 ° 20 'at the base. Calculate the size of the angle between the arms. - Circumference 65674

The circumference of the triangle is 125 cm. The shortest side is 12 cm shorter than the longest side. The longest side is 7 cm longer than the middle side. How long is the middle side? - Triangular 65304

The triangular plot has dimensions of 90m, 110m, and 130m. The land is drawn on a map with a scale of 1: 2000. Determine the lengths of its sides on the map in cm. - Following 64814

The two sides of the triangle have side lengths a = 6cm, b = 13cm. Then the following applies to the length of the third party c: (A) 7 - Calculate 64514

In the triangle ABC, a: b = 3: 2 and α: β = 2: 1. Calculate the ratio a: c. - Triangle from sticks

Bob the boulder has many sticks of length 3,5 and 7 . He wants to form triangles each of whose edges consists of exactly 1 stick. How many non congruent can be form with the sticks. - 14 sticks

I was cleaning up my attic recently and found a set of at least 14 sticks which a curious Italian sold me some years ago. Trying hard to figure why I bought it from him, I realized that the set has the incredible property that there are no 3 sticks that c - Observatories 64424

Objective C we observe from two artillery observatories A, and B, which are 975 m apart. The size of the BAC angle is 63 °, and the size of ABC is 48 °. Calculate the distance of points A and C. - Centimeter 64224

A ladder leans against the wall. It touches the wall at the height of 340 cm, and its lower end is 160 cm away from the wall. How long is the ladder? Express the result to the nearest centimeter.

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