Planimetrics + right triangle - practice problems - page 25 of 57
Number of problems found: 1136
- The ladder
The ladder is 10 m long. The ladder is 8 m high. How many meters is the distant heel from the wall? - Arithmetic 80808
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. The content is 6cm². - Perpendicular 73264
The perimeter of a right triangle is equal to 30 centimeters. Calculate the perpendicular b if a = 5 centimeters and c = 13 centimeters. A natural number expresses the length of the perpendicular b. - Calculate 69104
The diagonal of the TV screen is 82 cm, and the height is 40 cm. Calculate the width of the screen.
- Calculate 6149
Find the area and perimeter of a square whose diagonal is 10 cm. - Isosceles triangle
Calculate the height of the isosceles triangle ABC with the base AB, AB = c = 10 cm, and the arms a = b = 13 cm long. - Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm. - Sides of the triangle
Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2 - Calculate 78714
Calculate the size of the base and side of an isosceles triangle if the side is 1 cm longer than the base and the height to the base is 2 cm shorter than the side.
- Centimeters 4404
Calculate the diagonal of a square if its area is equal to 169 square centimeters. - Isosceles trapezoid
The old father decided to change the top plate of an isosceles-like trapezoid with the basic dimensions of 120 cm and 60 cm, and the shoulder is 50 centimeters long. How much does it pay for a new plate and a square meter worth 17 euros? - Calculate
Calculate the height of an isosceles triangle with a base 37.8 mm long and an arm 23.1 mm long. - Calculate 5255
The area of the square is equal to 2.56 square meters. Calculate its diagonal. - 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.
- Two diagonals
The rhombus has a side length of 12 cm and a length of one diagonal of 21 cm. What is the length of the second diagonal? - Square diagonal
Calculate the length of the square diagonal if the perimeter is 172 cm. - Six-sided polygon
There is a six-sided polygon. The first two angles are equal, the third angle is twice (the equal angles), two other angles are trice the equal angle, while the last angle is a right angle. Find the value of each angle. - Leg and height
Solve right triangle with height v = 9.6 m and shorter cathetus b = 17.3 m. - Angle
Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence.
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