Pythagorean theorem - practice problems - page 5 of 73
Number of problems found: 1454
- Circles
The area of a circle inscribed in a square is 7. What is the area of a circle circumscribed around a square? - Isosceles IV
In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10. Calculate the radius of the inscribed (r) and described (R) circle. - Height
Calculate the height of the equilateral triangle if its perimeter is 31. - Triangle right determination
Decide if the triangle is right (sides 5,11,7, cm) - Chord length
Calculate the length of the circle chord, which is 2.5 cm from the circle's center. The radius is 6.5 cm. - Rhombus 47
A rhombus has a side length of 5 m and a longer diagonal length of 8 m. What is the length of the shorter diagonal of the rhombus? - Isosceles triangle
Find the area of an isosceles triangle whose leg is twice the base, b=1 - The diagonal 4
The diagonal of a rhombus measures 16 cm and 30 cm. Find its perimeter. - Isosceles triangle
The given is an isosceles triangle with a base of 24dm and an arm of 15dm. Calculate the height of the triangle. - Tangent of an angle
Suppose the tangent of an angle of a right-angled triangle is 0.8. Then its longest side is: - Is right triangle
Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m - Broken tree
The tree is broken at 4 meters above the ground. The top of the tree touches the ground at a distance of 5 meters from the trunk. Calculate the original height of the tree. - Calculate hypotenuse
Calculate the hypotenuse of a right triangle PT if the length of one hypotenuse is 1.2 dm and the length of the hypotenuse is 1.3 dm. - Embankment height
The profile of the railway embankment has the shape of an isosceles trapezoid, where a = 16.4 m, c = 10.6 m, and b = d = 5.2 m. Calculate the embankment height. - OPT
What is the perimeter of a right triangle with the legs 11 cm and 24 cm long? - Rhombus
The rhombus with area 95 has one diagonal that is longer by 7 than the second one. Calculate the length of the diagonals and rhombus sides. - Ladder Length Wall Distance
The ladder is 1.4 m from the wall and touches 3 m high. How long is the ladder? - Chord center distance
Calculate the distance of a chord 19 cm long from the center of a circle with a diameter of 28 cm. - The diagonals
The diagonals in the diamond ABCD are 6 cm and 8 cm long. What is the perimeter of this diamond? - Equilateral triangle
Find the area of an equilateral triangle with a side of 15 cm.
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