Pythagorean theorem + power - practice problems
Number of problems found: 79
- Trigonometric fx
When an acute angle φ is in the standard position, its terminal side passes through point P (1,3). Find trigonometric functions of angle θ : sin φ, cos φ, tan φ, cotan φ. - Triangle 82
Triangle PQR has vertices located at (2, 2), (5, -4), and (-4, -1). What type of triangle is triangle PQR? - Square
Calculate the side of a square with a diagonal measurement of 10 cm. - Trio 2
Decide whether a trio of numbers is the side of a right triangle: 26,24,10.
- Is right?
Is a triangle with sides 51, 56, and 77 right triangle? - Hypotenuse
Calculate the length of the hypotenuse of a right triangle with a catheti 71 cm and 49 cm long. - Height UT
How long is the height in the equilateral triangle with a side e = 15? - Rectangle SS
The perimeter of a rectangle is 268 cm, and its diagonal is 99.3 cm. Determine the dimensions of the rectangle. - Two diagonals
The rhombus has a side length of 12 cm and a length of one diagonal of 21 cm. What is the length of the second diagonal?
- Rectangle
The rectangle is 18 cm long and 10 cm wide. Determine the diameter of the circle circumscribed to the rectangle. - Is right-angled
Can a triangle with the sides of sqrt 3, sqrt 5, and sqrt 8 (√3, √5, and √8) be a right triangle? - Without Euclid laws
Right triangle ABC with a right angle at the C has a=14 and hypotenuse c=26. Calculate the height h of this triangle without the use of Euclidean laws. - Calculate 8166
Calculate the perimeter of a square when we know the length of its diagonal e = 4.2 m - Ladder
Ladder 8 m long is leaning against the wall. Its foot is 1 m away from the wall. At which height does the ladder touch the wall?
- Leg
Determine the trapezoid area with bases 32 and 12; the height is 2 shorter than its leg. - Circle chord
What is the length x of the chord circle of diameter 115 m if the distance from the center circle is 11 m? - Ladder
The ladder, 10 meters long, stays against the wall so that its bottom edge is 6 meters away from the wall. What height reaches the ladder? - Square 2
Points D[10,-8] and B[4,5] are opposed vertices of the square ABCD. Calculate the area of the square ABCD. - Right isosceles
Calculate the area of the isosceles right triangle whose perimeter is 26 cm.
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