Perimeter + Pythagorean theorem - problems
Area of square garden is 6/7 of triangle garden with sides 96 m, 60 m and 60 m. How many meters of fencing need to fence a square garden?
- Trapezoid MO
The rectangular trapezoid ABCD with right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid.
- Triangle SAS
Calculate area and perimeter of the triangle, if the two sides are 19 cm and 80 cm long and angle them clamped is 90°.
Calculate the perimeter and area of rhombus whose diagonals are 26 cm and 42 cm long.
In rectangle with sides 10 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle?
- Square diagonal
Calculate length of the square diagonal if the perimeter is 200 cm.
How many steps you save if you go square estate for diagonal (crosswise), rather than circumvent on the two sides of its perimeter with 298 steps.
- Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 236 dm.
- Rectangle SS
Perimeter of a rectangle is 190 m and its diagonal is 84.72 m. Determine the dimensions of the rectangle.
- R Trapezium
Rectangular trapezium has bases 17 and 7 and area 80 cm2. What is its perimeter?
Jesters hat is shaped a rotating cone. Calculate how much paper is needed to the cap 50 cm high when head circumference is 47 cm.
Find the length of the other diagonal and area of rhombus. The perimeter of a rhombus is 55 cm and one of the diagonals is of length 11 cm.
- ISO triangle
Calculate the area of an isosceles triangle KLM if the length of its sides are in the ratio k:l:m = 4:4:3 and has perimeter 128 mm.
- Recursion squares
In the square ABCD is inscribed a square so that its vertices lie at the centers of the sides of the square ABCD.The procedure of inscribing square is repeated this way. Side length of square ABCD is a = 31 cm. Calculate: a) the sum of perimeters of all
- Similarity coefficient
The ratio of similarity of two equilateral triangles is 3.9 (ie 39:10). The length of the side of smaller triangle is 3 cm. Calculate the perimeter and area of the larger triangle.
- Circle section
Equilateral triangle with side 50 is inscribed circle section whose center is in one of the vertices of the triangle and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio betewwn the circumference to the circle sector.
- Track arc
Two straight tracks is in an angle 99°. They will join with circular arc with radius r=1292 m. How long will be arc connecting these lines (L)? How far is the center point of arc from track crossings (x)?
Calculate the length of the belt on pulleys with diameters of 162 mm and 454 mm at shaft distance 425 mm.
- Right triangle
Calculate the missing side b and interior angles, perimeter and area of a right triangle if a=10 cm and hypotenuse c = 16 cm.
- Perimeter and legs
Determine the perimeter of a right triangle if the length of one leg is 75% length of the second leg and its content area is 24 cm2.
Pythagorean theorem is the base for the right triangle calculator.