Pythagorean theorem - math word problems - page 18 of 73
Number of problems found: 1449
- Height
Calculate the height of the equilateral triangle if its perimeter is 31. - Legs and ratio
For the legs of a right triangle, a : b = 6:8. The hypotenuse has a length of 61 cm. Calculate the perimeter and area of this triangle. - Isosceles trapezoid
In an isosceles trapezoid, the basic lengths are 15 cm and 9 cm. The diagonals are 13 cm long. Calculate the perimeter and area of the trapezoid. - RT a-b-x
There is a right triangle with legs long a, b, and hypotenuse long x. Given that a = 6 cm and b = 9 cm, work out x. Give your answer as an exact surd. - SAS calculation
Given the triangle ABC, if side b is 31 ft., side c is 22 ft., and angle α is 47°, find side a. Please round to one decimal. - An equilateral
An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle? - Medians in RT
The rectangular triangle ABC has a length of 10 cm and 24 cm. Points P, Q, and R are the centers of the sides of this triangle. The perimeter of the PQR triangle is: - Land boundary
The land is a right triangle. Its hypotenuse is 30 meters long, and its circumference is 72 meters. What are the sizes of the remaining sides of the land boundary? - Rectangular trapezoid
In a rectangular trapezoid ABCD with right angles at vertices A and D with sides a = 12cm, b = 13cm, c = 7cm. Find the angles beta and gamma and height v. - RT sides
Find the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm. - Rectangle JANO
The rectangle has side lengths | JA | = 16cm and | AN | = 12cm. Point S is the center of the JO side, and point T is the center of the JA side. Calculate the perimeter of the pentagon in cm. - Pavement
Calculate the length of the pavement that runs through a circular square with a diameter of 40 m if the distance of the pavement from the center is 15 m. - 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 - Rectangular trapezium
Calculate the perimeter of a rectangular trapezium when its area is 576 cm² and side a (base) is 30 cm, height 24 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. - Embankment
The perpendicular cross-section of the embankment around the lake has the shape of an isosceles trapezoid. Calculate the perpendicular cross-section, where the bank is 4 m high, the upper width is 7 m, and the legs are 10 m long. - Triangle - is RT?
The triangle has a circumference of 90 cm. Side b is 1 cm longer than side c, and side c is 31 cm longer than side a. Calculate the length of the sides and determine whether a triangle is a right triangle. - Cableway
The cableway has a length of 1800 m. The horizontal distance between the upper and lower cable car station is 1600 m. Calculate how much meters altitude is higher upper station than at the base station. - Rectangle - desc circle
The length of the sides of the rectangle is at a ratio of 1:3. The circle's radius circumscribed to the rectangle is 10 cm. Calculate the rectangle's perimeter.
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