Right triangle practice problems - page 49 of 86
Number of problems found: 1713
- Rectangular trapezoid
Calculate the area of a rectangular trapezoid with a right angle at point A and if |AC| = 4 cm, |BC| = 3 cm, and the diagonal AC is perpendicular to the side BC.
- Calculate 48073
Calculate the area of the isosceles trapezoid ABCD if a = 14 cm, c = 8 cm, and the size of the angle DAB is 52 °.
- Rectangular 7082
The rectangular flowerbed has dimensions of 20m and 10m. How many steps will you save if you walk along its diagonal instead of walking along its two sides? Honors with a stride length of 60cm.
- Cubes
One cube is an inscribed sphere, and the other one is described. Calculate the difference of volumes of cubes if the difference of surfaces in 231 cm².
- A kite
ABCD is a kite. Angle OBC = 20° and angle OCD = 35°. O is the intersection of diagonals. Find angle ABC, angle ADC, and angle BAD.
- Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height.
- Complete construction
Construct triangle ABC if hypotenuse c = 7 cm and angle ABC = 30 degrees. / Use Thales' theorem - circle /. Measure and write down the length of the legs.
- Isosceles trapezoid
Find the area of an isosceles trapezoid; if the bases are 12 cm and 20 cm, the arm's length is 16 cm.
- Hypotenuse - RT
A triangle has a hypotenuse of 55 and an altitude to the hypotenuse of 33. What is the area of the triangle?
- Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length of 8cm. Calculate the circumference and the hexagon area.
- Kites
Boys run kites on a cable of 68 meters long. What is the kite altitude if the angle from the horizontal plane is 72°?
- Diamond ABCD
In the diamond ABCD, the diagonal e = 24 cm, and the size of angle SAB is 28 degrees, where S is the intersection of the diagonals. Calculate the circumference of the diamond.
- Cincinnati
A map is placed on a coordinate grid. Cincinnati is located at (5,4), and San Diego is located at (-10, -3). How far apart is Cincinnati from San Diego on the map? Round to the nearest tenth.
- Isosceles trapezoid 3
In the isosceles trapezoid ABCD, calculate the unknown side length "a" and its area. Side b = d = 50 cm, c = 20 cm, height = 48 cm.
- Four-sided 5917
Mr. Radomír had a misfortune during the last storm; a tree fell on his roof in the shape of a regular four-sided pyramid and destroyed it all. The roof has a base edge length of 8m and a side edge length of 15m. How many m² of roofing will he have to buy?
- Isosceles trapezoid
What is the height of an isosceles trapezoid, the base of which is 11 cm and 8 cm long, and whose legs measure 2.5 cm?
- Drainage channel
The drainage channel's cross-section is an isosceles trapezoid whose bases are 1.80 m and 0.90 m long, and the arm is 0.60 meters long. Calculate the channel's depth.
- Diagonals 5113
The diagonals in diamond KLMN are 10 cm and 6 cm long. Determine the angle size that the longer diagonal makes with the side of the diamond.
- ABS, ARG, CONJ, RECIPROCAL
Let z=-√2-√2i where i2 = -1. Find |z|, arg(z), z* (where * indicates the complex conjugate), and (1/z). Where appropriate, write your answers in the form a + i b, where both a and b are real numbers. Indicate the positions of z, z*, and (1/z) on an Argand
- Big Earth
What percentage of the Earth's surface is seen by an astronaut from a height of h = 350 km? Take the Earth as a sphere with a radius R = 6370 km.
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