Pythagorean theorem - math word problems - page 21 of 70
Number of problems found: 1397
- Circle annulus
There are two concentric circles in the figure. The chord of the larger circle, 10 cm long, is tangent to the smaller circle. What does annulus have?
- Largest angle of the triangle
Calculate the largest angle of the triangle whose sides have the sizes: 2a, 3/2a, 3a
- Sum of squares
The sum of squares above the sides of the rectangular triangle is 900 cm². Calculate the area of the square over the triangle's hypotenuse.
- Chord
It is given to a circle k(r=6 cm), and the points A and B such that |AB| = 8 cm lie on k. Calculate the distance of the center of circle S to the midpoint C of segment AB.
- Land - isosceles trapezoid
Calculate the building plot's area and perimeter using an isosceles trapezoid with bases of 120m and 95 m and a height of 50m.
- Right triangle eq2
The hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the second leg. Determine the circumference and area of a triangle.
- The field
The player crossed the field diagonally and walked the length of 250 m. Calculate the length of the field circumference if one side of the field is 25 meters.
- Inscribed circle
XYZ is a right triangle with a right angle at the vertex X and an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm.
- Circle chord
Calculate the length of the chord of the circle with radius r = 10 cm, the length of which is equal to the distance from the circle's center.
- Medians of isosceles triangle
The isosceles triangle has a base ABC |AB| = 16 cm and a 10 cm long arm. What is the length of the medians?
- Dragon altitude
The kite is tied to a string 85 meters long and hovers over a place 60 meters away from us. Calculate how high the dragon hovers.
- Right triangles
How many right triangles we can construct from line segments 3,4,5,6,8,10,12,13,15,17 cm long? (Do not forget the triangle inequality).
- RT leg and perimeter
The right triangle ABC with hypotenuse c has the length of a leg a= 84 and the perimeter of the triangle o = 269. Calculate the size of the sides of the triangle ABC.
- Rectangle and circle
The rectangle ABCD has side lengths a = 40 mm and b = 30 mm and is circumscribed by a circle k. Calculate approximately how many centimeters a circle is long.
- RTriangle 17
The hypotenuse of a right triangle is 17 cm. If you decrease both two legs by 3 cm, you will reduce the hypotenuse by 4 cm. Determine the length of these legs.
- Chord 2
Point A has a distance of 13 cm from the circle's center with a radius r = 5 cm. Calculate the length of the chord connecting the points T1 and T2 of contact of tangents led from point A to the circle.
- Rectangle
Calculate the length of the side HM and diagonal EM of rectangle EHMQ when given: |QM| = 29 cm and angle ∠ EHQ = 36 degrees.
- Area 4gon
Calculate the area of 4-gon, two, and the two sides are equal and parallel with lengths 11, 5, 11, and 5. Inner angles are 45°, 135°,45°, 135°.
- Sea
How far can you see from the ship's mast, whose peak is at 14 meters above sea level? (Earth's radius is 6370 km).
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