Pythagorean theorem - math word problems - page 20 of 73
Number of problems found: 1453
- 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. - Flowerbed area
The flowerbed has a diamond shape with side a = 35 dm. The longer diagonal is 56 dm long. Calculate the area of the flowerbed. - Rectangle and diagonal
In the rectangle ABCD, we know the side length is AB = 16 cm, and the diagonal AC = 20 cm. Calculate its perimeter and area. - Length IT
Find the length (circumference) of an isosceles trapezoid in which the length of the bases a,c, and the height h is given: a = 8 cm c = 2 cm h = 4 cm. - Chord 4
I need to calculate the circumference of a circle, and I know the chord length c=16 cm and the distance from the center d=15 cm chord to the circle. - Rhombus 2
Calculate the rhombus area with a height v=48 mm and shorter diagonal u = 60 mm long. - Ladder
10 meters long ladder is leaning against the wall of the well, and its lower end is 1 meters from this wall. How high from the bottom of a well is the top edge of the ladder? - Diagonals
Calculate the length of the rhombus's diagonals if its side is long 21 and one of its internal angles is 10°. - Rhombus
Calculate the length of the diagonal AC of the rhombus ABCD if its perimeter is 524 dm and the other diagonal BD has length 159 dm. - Octagon
We have a square with a side 56 cm. We cut corners to make his octagon. What will be the side of the octagon? - Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm. - Prism bar diameter
If we want to make a prism with a wooden base with a 5 cm side of a wooden bar, what is the bar's smallest diameter? - Right Triangle Calculations
We know the right angle γ, side b = 14 cm, and height vc = 8.8 cm in the right triangle ABC. Calculate: angle α = angle β = side a = side c = - Garden dimensions
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The junction of the centers of adjacent sides is 20 m long. Calculate the perimeter and acreage of the land. - 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. - RR trapezoid
Given an isosceles trapezoid ABCD with bases |AB| = 36 m, |CD| = 200 dm, and |BC| = 10m. Calculate the area and perimeter of the trapezoid and the length of the diagonal AC - Sides ratio and angles
In triangle ABC, you know the ratio of side lengths a:b:c=3:4:6. Calculate the angle sizes of triangle ABC. - Triangle Euclid parameters
Using Euclid's Theorems and Pythagoras' Theorem, complete the following parameters describing a right-angled triangle ABC with a right angle at vertex C if we know b=10, cb=8 - Ladder building height
A ladder leans against the building; its length is 7.5 meters. The bottom is 2 meters away from the building. At what height is it leaning against the wall? - Hexagon circle radius
A regular hexagon is described and inscribed in a circle. The difference between its areas is 8√3. Find the circle's radius.
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