Diagonal + right triangle - practice problems - page 6 of 18
Number of problems found: 348
- Rectangle
In rectangle ABCD with sides, |AB|=19, |AD|=19 is from point A guided perpendicular to the diagonal BD, which intersects at point P. Determine the ratio r = (|PB|)/(|DP|).
- Parallelogram 82626
Calculate the area of a parallelogram if we know the perimeter is 23 cm, the diagonal is 8.5 cm, and one side is 1.5 cm longer.
- Quadrilateral 78874
Given is a quadrilateral ABCD inscribed in a circle, with the diagonal AC being the circle's diameter. The distance between point B and the diameter is 15 cm, and between point D and the diameter is 18 cm. Calculate the radius of the circle and the perime
- Calculate 8252
Calculate in cm² the area of a circle whose diameter is equal to the length of the diagonal of a square ABCD with a side of 4cm.
- The perimeter
The perimeter of a rhombus whose diagonal lengths are in the ratio 3:4 is 40 cm. What is its area in cm²?
- Triangular land
Jana has a rectangular garden measuring 30 meters by 72 meters that she wants to split diagonally from corner to corner using a fence. How long does her fence need to be?
- Two circles
Two circles with the same radius, r = 1, are given. The center of the second circle lies on the circumference of the first. What is the area of a square inscribed in the intersection of given circles?
- Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle.
- Rectangle 35
Find the rectangle area when the diagonal is equal to 30 cm and the width is double the length.
- Circumscribed 2671
The circle's radius circumscribed by the rectangle is 5 cm, and one side of the rectangle is 6 cm long. Calculate the length of the other side and the area of the rectangle.
- Flowerbed 2540
The flowerbed has a diamond shape with side a = 35 dm. The longer diagonal is 56 dm long. Calculate the area of the flowerbed.
- 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.
- Diamond diagonals
Find the diamond diagonal's lengths if the area is 156 cm² and the side is 13 cm long.
- Diagonals of a rhombus 2
One diagonal of a rhombus is greater than the other by 4 cm. If the area of the rhombus is 96 cm2, find the side of the rhombus.
- Diamond diagonals
Calculate the diamonds' diagonal lengths if the diamond area is 156 cm square and the side length is 13 cm.
- Rhombus
One angle of a rhombus is 136°, and the shorter diagonal is 8 cm long. Find the length of the longer diagonal and the side of the rhombus.
- The rope
A 68-centimeter-long rope is used to make a rhombus on the ground. The distance between a pair of opposite side corners is 16 centimeters. What is the distance between the other two corners?
- Dog
The dog is tied to a chain, which is mounted in the corner of the yard. The yard is shaped like a square with a side length of 20 meters. The same length is also a dog chain. Are there places in the yard where the dog can't reach?
- Rhombus and inscribed circle
It is given a rhombus with side a = 6 cm and the inscribed circle r = 2 cm radius. Calculate the length of its two diagonals.
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