Right triangle - high school - practice problems - page 12 of 37
Number of problems found: 730
- Gimli Glider
Aircraft Boeing 767 lose both engines at 42000 feet. The plane captain maintains optimum gliding conditions. Every minute, lose 1910 feet and maintain constant speed 211 knots. Calculate how long it takes for a plane to hit the ground from engine failure. - Rectangle
In rectangle ABCD with sides, |AB|=19, |AD|=16 is from point A guided perpendicular to the diagonal BD, which intersects at point P. Determine the ratio (|PB|)/(|DP|). - RT sides
Find the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm. - Inscribed circle
XYZ is a right triangle with a right angle at the vertex X with an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm.
- Goat
Meadow is a circle with a radius r = 19 m. How long must a rope tie a goat to the pin on the Meadow's perimeter to allow the goat to eat half of the Meadow? - Trigonometric formula
Determine the value of the function tg x (tangens) when cotg x = -0.8 (cotangent); x holds in the second quadrant) - Angle of diagonals
Calculate a rectangle's perimeter and area if its diagonal is 14 cm and the diagonals form an angle of 130°. - Rectangle
There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of a rectangle. - Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm.
- EQL triangle
Calculate the inradius and circumradius of an equilateral triangle with side a=77 cm. - Circumscribed 3132
The right triangle has squares in the ratio of 5:12, and the circumscribed circle diameter is 26 cm. Determine its perimeter. - Meridian ground speed
The plane flies south at an average speed of 190 km/h, and the wind blows from west to east at a speed of 20 m/s. How fast and in what direction (relative to the meridian) will the plane move relative to the ground? - Rotating 28501
Which bags shaped like the shell of a rotating cone can hold the most popcorn? The first bag has a height of 20 cm, and the length of its side is 24 cm. The second bag has a base radius of 10 cm and a height of 25 cm. - Triangle
Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius).
- Side wall planes
Find the volume and surface of a cuboid whose side c is 30 cm long and the body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls. - Dimensions: 32561
The convex lens consists of two spherical segments (dimensions given in mm). Calculate its weight if the density of the glass is 2.5 g/cm³. Dimensions: 60mm in length and width of the upper part 5mm, the width of the lower part 8mm - Triangular prism
The base of the perpendicular triangular prism is a rectangular triangle with a hypotenuse of 10 cm and one leg of 8 cm. The prism height is 75% of the perimeter of the base. Calculate the volume and surface of the prism. - Intersection 74914
Find the perimeter of triangle ABC, where point A begins the coordinate system. Point B is the intersection of the graph of the linear function f: y = - 3/4• x + 3 with the x-axis, and C is the intersection of the graph of this function with the y-axis. - Circle inscribed
Calculate the perimeter and area of a circle inscribed in a triangle measuring 3, 4, and 5 cm.
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