Pythagorean theorem - math word problems - page 14 of 73
Number of problems found: 1442
- 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.
- Distance 8471
The double ladder has a height of 3 m. What height will it reach when we spread it at a distance of 1 m?
- Is right triangle or not
If the right triangle is ABC, it has sides a=13, b=11.5, and c=22.5. Find area.
- 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.
- 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.
- Moivre 2
Find the cube roots of 125(cos 288° + i sin 288°).
- 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.
- Trapezoid - hard example
Bases of the trapezoid are: 24, 16 cm. Diagonal 22, 26 cm. Calculate its area and perimeter.
- Side c
In △ABC a=1, b=6 and ∠C=110°. Calculate the length of the side c.
- Diagonals of rhombus
Find the length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm.
- Michael 2
Michael has a 35-foot ladder leaning against the side of his house. If the bottom of the ladder is 21 feet away from his house, how many feet above the ground does the ladder touch the house?
- 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.
- 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).
- Is right-angled
Can a triangle with the sides of sqrt 3, sqrt 5, and sqrt 8 (√3, √5, and √8) be a right triangle?
- The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX?
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The Pythagorean theorem is the base for the right triangle calculator.