Pythagorean theorem - practice for 13 year olds - page 7 of 35
Number of problems found: 686
- Cross-section 5567
What diameter must the trunk of a tree have to carve a beam with a square cross-section of 20 cm on it? - Diagonals
A diagonal of a rhombus is 20 cm long. If its side is 26 cm, find the length of the other diagonal. - Parallelogram 3567
One side of the parallelogram is 5 cm. Can it have 3 cm and 6 cm diagonals? - Circumscribed 3132
The right triangle has squares in the ratio of 5:12, and the circumscribed circle diameter is 26 cm. Determine its perimeter.
- Isosceles triangle
Calculate the height of the isosceles triangle ABC with the base AB, AB = c = 10 cm, and the arms a = b = 13 cm long. - Right triangle
A circle with a radius of 5 cm is described in a right triangle with a 6 cm leg. What is the height at the hypotenuse of this triangle? - 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. - Median in right triangle
In the rectangular triangle, ABC has known the length of the legs a = 15cm and b = 36cm. Calculate the length of the median to side c (to hypotenuse). - The diamond
The diamond has 35 cm-wide sides, and the diagonals are in a ratio of 1:2. Calculate the diagonal lengths.
- Circular ring
A square with an area of 16 centimeters is inscribed circle k1 and described to circle k2. Calculate the area of the circular ring, which circles k1, and k2 form. - 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? - 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.
- Calculate 60423
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 party r. - Calculate 6149
Find the area and perimeter of a square whose diagonal is 10 cm. - Diagonal 5555
The pool has a diamond shape with a side 20m long. One diagonal is 32 meters. What is the second diagonal? - Determine 4258
Determine the length of the side of the diamond, with its two diagonals being 12 cm and 6 cm long. - Calculate 3562
The 16 cm long string is 6 cm from the circle's center. Calculate the length of the circle.
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