Pythagorean theorem - math word problems - page 19 of 73
Number of problems found: 1446
- Windbreak
A tree at a height of 3 meters broke in the windbreak. Its peak fell 4.5 m from the tree. How tall was the tree? - Ladder
The ladder has a length of 3.5 meters. It is leaning against the wall, so the bottom end is 2 meters from the wall. Find the height of the ladder. - Rectangle - parallelogram
A rectangle is circumscribed by a circle with a radius of 5 cm. The short side of the rectangle measures 6 cm. Calculate the perimeter of a parallelogram ABCD, whose vertices are the midpoints of the sides of the rectangle. - Silver medal
A circular silver medal with a diameter of 10 cm is an inscribed gold cross consisting of five equal squares. What is the area of the silver part? b) What is the area of the Golden Cross? - Rhomboid
The rhomboid sides' dimensions are a= |AB|=5cm, b = |BC|=6 cm, and the angle's size at vertex A is 60°. What is the length of the diagonal AC? - Diagonals
The rhombus has two diagonals, e=14 dm, and f=11 dm. Calculate the side angle and height of the rhombus. - Road embankment
Road embankment has a cross-section shape of an isosceles trapezoid with bases 7 m and 10 m and 5 m long leg. How many cubic meters of soil is in an embankment length of 1198 meters? - Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 5a +5b = 7c - Right-angled 81989
Using Euclid's Theorems and Pythagoras' Theorem, complete the following parameters describing a right-angled triangle ABC with a right angle at vertex C if we know b=10, cb=8 - Building 81885
A ladder leans against the building; its length is 7.5 meters. The bottom is 2 meters away from the building. At what height is it leaning against the wall? - Rectangular 80776
The perimeter of the rectangular garden is 42 meters. Its sides are in the ratio 3:4. Calculate the length of the sidewalk that is the diagonal of the garden. - Height—the 6183
In the isosceles trapezoid ABCD, the base length is a = 10cm, c = 6cm, and the arm's length is 4cm. Calculate its height—the result round to tenths. - 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? - Calculate 5255
The area of the square is equal to 2.56 square meters. Calculate its diagonal. - Rectangle 35
Find the rectangle area when the diagonal is equal to 30 cm and the width is double the length. - Diagonal 2738
ABCD square has a diagonal length of 8 cm. What is the area of the square? - Embankment 2539
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. - 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. - Circumference 3919
Determine the diagonal of a square whose circumference is equal to 72 cm. - Hypotenuse
Calculate the length of the hypotenuse of a right triangle with a catheti 71 cm and 49 cm long.
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