# Pythagorean theorem - math word problems - page 9

- Rhombus

Calculate the length of the diagonal AC of the rhombus ABCD, if its perimeter is 84 dm and the other diagonal BD has length 20 dm. - Above Earth

To what height must a boy be raised above the earth in order to see one-fifth of its surface. - Median

In the right triangle are sides a=41 dm b=42 dm. Calculate the length of the medians t_{c}to the hypotenuse. - Common chord

Two circles with radius 17 cm and 20 cm are intersect at two points. Its common chord is long 27 cm. What is the distance of the centers of these circles? - Vertical prism

The base of vertical prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism - Leg

Determine the area of a trapezoid with bases 71 and 42 and height is 4 shorter than the its leg. - Isosceles trapezoid

The lengths of the bases of the isosceles trapezoid are in the ratio 5:3, the arms have a length of 5 cm and height = 4.8 cm. Calculate the circumference and area of a trapezoid. - Chord AB

What is the length of the chord AB if its distance from the center S of the circle k(S, 92 cm) is 10 cm? - Segment

Calculate the length of the segment AB, if the coordinates of the end vertices are A[10, -4] and B[5, 5]. - Tetrahedron

Calculate height and volume of a regular tetrahedron whose edge has a length 18 cm. - Trapezoid RT

The plot has a shape of a rectangular trapezium ABCD, where ABIICD with a right angle at the vertex B. side AB has a length 36 m. The lengths of the sides AB and BC are in the ratio 12:7. Lengths of the sides AB and CD are a ratio 3:2. Calculate consumptio - Rectangular trapezoid

The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the circumference and area of a trapezoid. - Center of the cube

Center of the cube has distance 33 cm from each vertex. Calculate the volume V and surface area S of the cube. - Goniometric form

Determine goniometric form of a complex number ?. - Unit vector 2D

Determine coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10]. - Triangle

Calculate the sides of the triangle if its area S = 630 and the second cathethus is shorter by 17. - Diameter

If the endpoints of a diameter of a circle are A(10, -1) and B (3, 10), what is the radius of the circle? - Cube - wall

V kocke ABCDEFGH je ?. Aký je povrch kocky? - RT 11

Calculate the area of right tirangle if its perimeter is p = 45 m and one cathethus is 20 m long. - Diamond ABCD

In the diamond ABCD is the diagonal e = 24 cm and size of angle SAB is 28 degrees, where S is the intersection of the diagonals. Calculate the circumference of the diamond.

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Pythagorean theorem is the base for the right triangle calculator.