# Practice problems of the triangle

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: 1866

- 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 ° - 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. - 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 - Triangle's 63774

Calculate the perimeter of an isosceles triangle if the triangle's height is 15 cm and the base is 16 cm. - Iso triangle

An isosceles triangle with a base of 8 cm. Its circumference is 28 cm. Calculate the height of the triangle. - The ladder

The ladder makes an angle of 2°30' with the wall and reaches a height of 2.3 m. How far is the ladder from the wall? - Calculate 60993

In the right triangle ABC, calculate the magnitude of the interior angles if / AB / = 13 cm; / BC / = 12 cm and / AC / = 5 cm. - Cosine

Cosine and sine theorem: Calculate all missing values from triangle ABC. c = 2.9 cm; β = 28°; γ = 14° α =? °; a =? cm; b =? cm

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See also our trigonometric triangle calculator. See also more information on Wikipedia.