Pythagorean theorem - math word problems - page 12 of 73
Number of problems found: 1442
- Hypotenuse and legs
A right triangle with hypotenuse c=25 dm is given. Calculate the length of the unknown side, given: side a=15 dm. Find the area of this triangle. Sketch the triangle and describe all its vertices and sides correctly. - Consider 3
Consider the isosceles trapezoid PQRS. The bases are |PQ|=120 mm, |RS|=62 mm and the arm s=48 mm. Find the height of the trapezoid, diagonal length and the area of the trapezoid. - The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle. - Five-gon
Calculate the side a, the circumference, and the area of the regular 5-angle if Rop = 6cm. - A-shaped ladder
An unfolded double ladder (A-shaped rung) is 10 m long. How high will it reach if the painter extends both parts of the ladder and ensures that the two parts of the ladder are 12 m apart on the ground? - The trapezium
The trapezium is formed by cutting the top of the right-angled isosceles triangle. The trapezium base is 10 cm, and the top is 5 cm. Find the area of the trapezium. - Spruce height
How tall was the spruce that was cut at an altitude of 8m above the ground, and the top landed at a distance of 15m from the heel of the tree?
- Double ladder
The double ladder is 8.5m long. It is built so that its lower ends are 3.5 meters apart. How high does the upper end of the ladder reach? - Diagonal of the rectangle
Calculate the rectangle's diagonal, whose area is 54 centimeters square, and the circuit equals 30 cm. - Isosceles trapezoid
Calculate the circumference and area of the isosceles trapezoid if you know the bases' sizes are 8 and 12 cm and the arms' sizes are 5 cm. - Concentric circles
In the circle with diameter, 13 cm is constructed chord 1 cm long. Calculate the radius of a concentric circle that touches this chord. - Logs
The log has a diameter of 30 cm. What largest beam with a rectangular cross-section can be carved from it? - Without Euclid laws
Right triangle ABC with a right angle at the C has a=14 and hypotenuse c=26. Calculate the height h of this triangle without the use of Euclidean laws. - Q-Exam
If tg α = 8.6, Calculating sin α, cos α, cotg α . - Diagonals of the rhombus
Calculate the height of the rhombus whose diagonals are 18 cm and 6 cm.
- Circumscribed 83152
Given is an isosceles triangle whose base is 8 cm, and the sides are 15 cm long. Calculate the area of the triangle and the radius of the inscribed and circumscribed circle. - Staircase 81963
How long is the staircase railing with 17 steps if the step is 32 cm deep and 14.5 cm high? The last step does not count. - Difference 80618
A regular hexagon is described and inscribed in a circle. The difference between its areas is 8√3. Find the circle's radius. - Circle inscribed
There is a triangle ABC and a circle inscribed in this triangle with a radius of 15. Point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26? - Vertically 7853
The storm broke the vertically growing spruce at 8 meters above the ground. The top fell to the bottom 6 meters from the spruce base. Find the original height of the spruce.
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The Pythagorean theorem is the base for the right triangle calculator.
