Pythagorean theorem + area - practice problems
Number of problems found: 525
- Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side. - Circumference 72414
Calculate the diagonal and the area of a square if its circumference is 10 centimeters. - Perpendicular 70824
One perpendicular to the right triangle ABC has a length a = 14 cm, and a radius of the circle inscribed in this triangle r = 5 cm. Find the size of the diaphragm and its second perpendicular. - Calculate 70804
The garden has the shape of a right triangle and is fenced with a fence length of 364m. The shorter slope of the triangle is 26 m long. Calculate the area of this garden. - 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. - Perpendiculars 66274
The perpendiculars of a right triangle have lengths of 30 cm and 40 cm. What is the height of the triangle? - Circumference 66134
The isosceles trapezoid ABCD has an area of 36 cm². One of its bases is two times longer than the other. Height is 4 cm. Calculate the circumference of the trapezoid. - Trapezoid 65644 In an isosceles trapezoid, the base ratio a / c = 9/7, arm b = 10 cm, height v = 8 cm. Calculate the area of the trapezoid in cm².
- Parallelogram 64414
The parallelogram has side a = 58cm and diagonals u = 89cm, v = 52cm. Calculate the perimeter and area of this parallelogram. - Triangle 63244
The area of the ABCD square in the picture is 36 cm². The points E and F are the centers of the sides of the square BC and CD. What is the area of the triangle AEF in cm²? - Rectangular 63094
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 9m long. - Base and longest side
The base of a right angled triangle is 10 centimetres and the longest side is 26 centimetres. What is the area of the triangle? - Trapezoid
The rectangular trapezoid ABCD with right angle at the vertex A has sides a, b, c, d. Calculate the circumference and the area of the trapezoid if given: a = 25cm, c = 10cm, d = 8cm - Circle inscribed
There is a triangle ABC and a circle inscribed in this triangle with radius 15. The 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? - Rectangle 49153
Rectangle ABCD, whose | AB | = 5cm, | AC | = 8 cm, ∢ | CAB | = 30 °. How long is the other party and what is its area? - The triangle
The triangle has sides 5 cm long, 5 cm, 8 cm long. What is the area of the triangle? - Circumference 47983
What is the area of an equilateral triangle with a circumference of 63 cm? - Circumference 46171
Calculate the circumference and area of a rectangle with one side 6 cm long and a diagonal 10 cm long. - The quadrilateral
The quadrilateral ABCD is composed of two right triangles ABD and BCD. For side lengths: |AD| = 3cm, | BC | = 12cm, | BD | = 5cm. How many square centimeters (area) does the quadrilateral ABCD have? The angles DAB and DBC are right. - Equilateral triangle
Find the area of an equilateral triangle with a side of 15 cm.
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