# Pythagorean theorem - math word problems

- Catheti

The hypotenuse of a right triangle is 41 and the sum of legs is 49. Calculate the length of its legs. - Cone and the ratio

Rotational cone has a height 23 cm and the ratio of the base surface to lateral surface is 7: 9. Calculate a surface of the base and the lateral surface. - Euclidean distance

Calculate the Euclidean distance between shops A, B and C, where: A 45 0.05 B 60 0.05 C 52 0.09 Wherein the first figure is the weight in grams of bread and second figure is price in USD. - RT 11

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

8.3 meters long ladder is leaning against the wall of the well, and its lower end is 1.2 meters from this wall. How high from the bottom of a well is the top edge of the ladder? - Distance

Wha is the distance between the origin and the point (18; 22)? - Vectors

Vector a has coordinates (8; 10) and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c? - Leg

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

The circle area is 216. Determine the area of inscribed rectangle with one side 5 long. - Chord - TS v2

The radius of circle k measures 87 cm. Chord GH = 22 cm. What is TS? - 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? - Angle between vectors

Find the angle between the given vectors to the nearest tenth of a degree. u = (-22, 11) and v = (16, 20) - Isosceles IV

In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10. Calculate the radius of the inscribed (r) and described (R) circle. - EQL triangle

Calculate inradius and circumradius of equilateral triangle with side a=77 cm. - Round table

Round table with diameter d = 105 cm is coated by square tablecloth with a side length 121 cm. About how many cm is higher center of tablecloth than its cornes? - Trapezoid ABCD

Calculate the perimeter of trapezoid ABCD if we know the side c=15, b=19 which is also a height and side d=20. - Circle section

Equilateral triangle with side 33 is inscribed circle section whose center is in one of the vertices of the triangle and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio betewwn the circumference to the circle sector - Axial section

Axial section of the cylinder has a diagonal 31 cm long and we know that the area of the side and the area of base is in ratio 3:2. Calculate the height and radius of the cylinder base. - RT 10

Area of right triangle is 84 cm^{2}and one of its cathethus is a=10 cm. Calculate perimeter of the triangle ABC. - OPT

What is the perimeter of a right triangle with the legs 14 cm and 21 cm long?

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Pythagorean theorem is the base for the right triangle calculator.