Pythagorean theorem - practice problems - page 8 of 73
Number of problems found: 1446
- 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.
- Perimeter of circle
Calculate the circumference of a described circle to the triangle with sides 9,12,15 cm.
- Diamond side
The diagonals of the diamond are 18 cm and 14 cm long. Calculate the length of the diamond side.
- Isosceles trapezoid
Calculate the circumference and area of the isosceles trapezoid if you know the bases' sizes are 8 and 12 cm and the arms' sizes are 5 cm.
- Right angled triangle
The hypotenuse of a right triangle is 17 cm long. When we decrease the length of the legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs.
- Medians
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 25 cm and tb=30 cm.
- 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?
- Equilateral 80573
The field has the shape of an equilateral triangle. Calculate its area if you know that the side is 280 meters long.
- Calculate 69104
The diagonal of the TV screen is 82 cm, and the height is 40 cm. Calculate the width of the screen.
- Triangle's 63774
Calculate the perimeter of an isosceles triangle if the triangle's height is 15 cm and the base is 16 cm.
- In a right-angled 15
In a right-angled triangle ABC with hypotenuse c, the length of the side b = 4.5 cm and tan α = 2/3. What is the length of the side a?
- Calculate the chord
The circle's radius is r=8.9 cm, and the chord AB of this circle has a length of 16 cm. Calculate the distance of chord AB from the center of the circle.
- Arithmetic mean - parabola
Find the value of k so that k² + 2k – 3 is the arithmetic mean between k² + 4k + 5 and k² – 6k + 10.
- Calculate ΔRST
In a right triangle RST with a right angle at the vertex T, we know the lengths of two sides: s = 7.8 cm and t = 13 cm; calculate the third side r.
- ABC isosceles
ABC isosceles rights triangle the length of each leg is 1 unit what is the length of the hypotenuse AB in the exact form
- Three altitudes
A triangle with altitudes 4, 5, and 6 cm is given. Calculate the lengths of all medians and all sides in a triangle.
- Waste
How much of the waste is from a circular plate with a radius of 1 m, from which we cut a square with the highest area?
- Satin
Sanusha buys a piece of satin 2.4 m wide. The diagonal length of the fabric is 4m. What is the length of the piece of satin?
- The ditch
Ditch with a cross-section of an isosceles trapezoid with bases 2m and 6m deep 1.5m. How long is the slope of the ditch?
- Equilateral triangle v2
An equilateral triangle has a perimeter 36 dm. What is its area?
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