Pythagorean theorem - practice problems - page 8 of 73
Number of problems found: 1446
- Circumference 3919
Determine the diagonal of a square whose circumference is equal to 72 cm. - Calculate square 2556
Calculate the arm length b of the trapezoid ABCD if a = 12 cm, c = 4 cm, the length of AC is same as the length of BC and the area S of the triangle ABC is 9 cm square. - Side c
In △ABC a=1, b=6 and ∠C=110°. Calculate the length of the side c. - Isosceles gable
The roof of a cottage has a gable in the shape of an isosceles triangle with a base length of 8m and a side length of 10m. How high is the gable? - Perpendicular leg
Calculate the area of a right triangle whose longer perpendicular is six dm shorter than the hypotenuse and three dm longer than the shorter perpendicular. - The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle. - Five-gon
Calculate the side a, the circumference, and the area of the regular 5-angle if Rop = 6cm. - The aspect ratio
The aspect ratio of the rectangular triangle is 13:12:5. Calculate the internal angles of the triangle. - Tree trunk
What is the smallest diameter of a tree trunk that we can cut a square-section square with a side length of 20 cm? - Double ladder
The double ladder shoulders should be 3 meters long. If the lower ends are 1.8 meters apart, what height will the upper top of the ladder reach? - Circumscribed circle to square
Find the length of a circle circumscribing a square side of 10 cm. Compare it to the perimeter of this square. - Is right?
Determine whether the triangle with legs (catheti) 19.5 cm and 26 cm and the length of the hypotenuse 32.5 cm is rectangular. - Rectangle
The rectangle is 18 cm long and 10 cm wide. Determine the diameter of the circle circumscribed by it. - Chord distance
The circle k (S, 6 cm) calculates the chord distance from the center circle S when the chord length is t = 10 cm. - Circle inscribed
Calculate the perimeter and area of a circle inscribed in a triangle measuring 3, 4, and 5 cm. - Diagonals
The rhombus has two diagonals, e=14 dm, and f=11 dm. Calculate the side angle and height of the rhombus. - Arm
Calculate the length of the arm r of isosceles triangle ABC, with base |AB| = 14 cm and a height v=18 cm. - Diagonal
Calculate the diagonal length of the rectangle ABCD with sides a = 7 cm, b = 10 cm. - Q-Exam
If tg α = 8.6, Calculating sin α, cos α, cotg α . - Proof PT
Can you easily prove Pythagoras' theorem using Euclidean theorems? If so, do it.
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