Triangle + expression of a variable from the formula - practice problems - page 4 of 41
Number of problems found: 813
- Outer angles
The outer angle of the triangle ABC at the A vertex is 71°40 ' outer angle at the vertex B is 136°50'. What size has the inner triangle angle at the vertex C? - Alfa, beta, gama
In the ABC triangle, is the size of the internal angle BETA 8 degrees larger than the size of the internal angle ALFA and the size of the internal angle GAMA is twice the size of the angle BETA? Determine the size of the interior angles of the triangle AB - RT and ratio
A right triangle whose legs are in a ratio 6:12 has a hypotenuse 68 m long. How long are its legs? - 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
- Arm and base
The isosceles triangle has a circumference of 46 cm. If the arm is 5 cm longer than the base, calculate its area. - The ladder
The ladder touches a wall at the height of 7.5 m. The angle of the inclination of the ladder is 76°. How far is the lower end of the ladder from the wall? - The Eiffel Tower
The top of the Eiffel Tower is seen from a distance of 600 meters at an angle of 30 degrees. Find the tower height. - Three altitudes
A triangle with altitudes 4, 5, and 6 cm is given. Calculate the lengths of all medians and all sides in a triangle. - Rectangular triangle
The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle?
- Isosceles triangle
The leg of the isosceles triangle is 5 dm, and its height is 20 cm longer than the base. Calculate base length z. - RT 11
Calculate the area of the right triangle if its perimeter is p = 45 m and one cathetus is 20 m long. - Perimeter 27813
Calculate the sizes of the remaining sides of the right triangle ABC: alpha = 45 degrees and perimeter o = 125. Thank you - Remaining 25441
An isosceles triangle has the size of the angles at the base alpha = beta = 34 degrees 34 minutes. Calculate the magnitude of the angle at the remaining vertex of the triangle in degrees and minutes. - Perpendicular 7712
Calculate the length of the shadow of a ladder 8 m long leaning against a 6 m high wall. (the sun shines perpendicular to the ladder - see picture).
- Circumference 4127
The base is 3.5 cm shorter than the shoulder in an isosceles triangle. The circumference of the triangle is 58 cm. Calculate the lengths of the sides of this triangle. - A triangle 4
A triangle has a perimeter of 18a + 6b + 15 and has sides of lengths 5a + 7 and 8a +4b. What is the length of the third side? Write an expression and simplify it to find the solution to the problem. - Two forces 3
Two forces with magnitudes 8 Newtons and 15 Newtons act at a point. If the resultant force is 17 Newtons, find the angle between the forces. - Triangle from median
Calculate the perimeter, area, and magnitudes of the triangle ABC's remaining angles: a = 8.4; β = 105° 35 '; and median ta = 12.5. - The angles ratio
The angles in the ABC triangle are in the ratio 1:2:3. Find the angles' sizes and determine what kind of a triangle it is.
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