Right triangle practice problems - page 118 of 126
Number of problems found: 2520
- Two forces
The two forces, F1 = 580 N and F2 = 630 N, have an angle of 59 degrees. Calculate their resultant force, F. - Quadrilateral pyramid
A regular quadrilateral pyramid has a volume of 24 dm³ and a base edge a = 4 dm. Calculate: a/height of the pyramid b/sidewall height c/surface of the pyramid - Tangent 3
In a circle with a center O radius is 4√5 cm. EC is the tangent to the circle at point D. Segment AB is a given circle's DIAMETER. POINT A is joined with POINT E, and POINT B is joined with POINT C. Find DC if BC IS 8 cm. - Z8–I–5 MO 2019
For eight different points as shown in the figure: points C, D, and E lie on a line parallel to line AB; F is the midpoint of segment AD; G is the midpoint of segment AC; and H is the intersection of lines AC and BE. The area of triangle BCG is 12 cm² and - Triangle construction sides
Construct a right triangle ABC with the hypotenuse AB: a) | AB | = 72 mm, | BC | = 51 mm b) | AB | = 58 mm, | AC | = 42 mm - Skeleton angle calculation
One angle of the skeleton is 30 degrees larger than the other. Calculate all its angles. - Regular quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid if the edge of the base is 8 cm long and the height of the side wall is 5 cm? - The chord
A chord passing through its center is the side of the triangle inscribed in a circle. What size are a triangle's internal angles if one is 40°? - Trapezoid cross section
Calculate how many hectoliters of water can fit in a fifty-meter sloped pool; if the smallest depth is 1.2 m and the largest depth is 3 m, the width of the pool is 20 m. - 9-gon pyramid
Calculate a nine-sided pyramid's volume and surface, the base of which can be inscribed with a circle with radius ρ = 7.2 cm and whose side edge s = 10.9 cm. - Concentric circles and chord
In a circle with a diameter d = 10 cm, a chord with a length of 6 cm is constructed. What radius has the concentric circle while touching this chord? - Chord AB
What is the chord AB's length if its distance from the center S of the circle k(S, 50 cm) is 43 cm? - Equation of the circle
Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4]. - Cone
A circular cone of height 14 cm and volume 4396 cm³ is cut at one third of its height (measured from the base) by a plane parallel to the base. Calculate the radius and circumference of the circular cross-section. - Medians in triangle
The median of the isosceles triangle is 3 cm long. If its perimeter is 16 cm, determine the size of its sides. - Two chords
There is a given circle k (center S, radius r). From point A, which lies on circle k, are starting two chords of length r. What angle do chords make? Draw and measure. - Chord distance
Determine the distance of two parallel chords of lengths of 7 cm and 11 cm in a circle with a radius of 7 cm. - Chord
In a circle with radius r = 60 cm, there is a chord that is 4 times longer than its distance from the centre. What is the length of the chord? - Track surface fitting
The circular running track has a diameter of 130 meters. Can a rectangular surface with dimensions of 12 m and 50 m be grassed inside the circle? - Rhombus - diagonals
Rhombus ABCD has diagonals u₁ and u₂ that make an angle of 60° with each other. Side a = 80 cm and side b = 50 cm. Calculate the area of the rhombus.
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