Pythagorean theorem - math word problems - page 11 of 74
Number of problems found: 1468
- Parallelogram diagonals
One side of the parallelogram is 5 cm. Can it have 3 cm and 6 cm diagonals? - Windbreak
A tree at a height of 3 meters broke in the windbreak. Its peak fell 4.5 m from the tree. How tall was the tree? - The double ladder
The double ladder has three meters-long shoulders. What is the height of the upper ladder reach if the lower ends are 1.8 meters apart? - Ladder
The ladder has a length of 3.5 meters. It is leaning against the wall, so the bottom end is 2 meters from the wall. Find the height of the ladder. - Triangle ABC
Triangle ABC has side lengths m − 1, m − 2, and m − 3. What must m be for the triangle to be: a) right-angled? b) acute-angled? - Calculate deltoid
Calculate the diagonals in the deltoid with sides of 10, 10, and shorter 6, 6 cm. - The chord
Calculate a chord length where the distance from the circle's center (S, 24 cm) equals 16 cm. - Trapezoid - legs
Determine the trapezoid area with bases 84 and 47; the height is 4 shorter than its leg. - Inscribed rectangle
The circle area is 231. Determine the area of the inscribed rectangle with one side 13 long. - Euklid4
The legs of a right triangle have dimensions 241 m and 34 m. Calculate the length of the hypotenuse and the height of this right triangle. - Distance two imaginary numbs
Find the distance between two complex numbers: z1=(-8+i) and z2=(-1+i). - In a right-angled 15
In a right triangle ABC with hypotenuse c, leg b = 4.5 cm and tan α = 2/3. What is the length of leg a? - Arbor
Calculate in square metres the area of an arbour whose ground plan is in the shape of a regular hexagon with a side length of 4.5 m. - Ladder wall height
A ladder is 7 meters long and is leaning against a wall so that its lower end is 4 meters away from the wall. Determine how high the ladder reaches - Trapezoid base perimeter
The isosceles trapezoid has a base length of 12 cm, a height of 4.5 cm, and a height of 5 cm. What is its circumference? - Triangle arithmetic sides
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. Its area is 6 cm². Find length of its sides. - TV screen width
The diagonal of the TV screen is 82 cm, and the height is 40 cm. Calculate the width of the screen. - Triangle perimeter height
Calculate the perimeter of an isosceles triangle if the triangle's height is 15 cm and the base is 16 cm. - Garden perimeter area
Calculate the perimeter and the area of a rectangular garden if the diagonal length is 18 m long and one of the sides of the garden is 9 m long. - Calculate ΔRST
In a right triangle RST with a right angle at the vertex T, we know the lengths of two sides: s = 7.8 cm and t = 13 cm; calculate the third side r.
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