Pythagorean theorem - 7th grade (12y) - math problems
Number of problems found: 99
- Broken tree
The tree is broken at 4 meters above the ground and the top of the tree touches the ground at a distance of 5 from the trunk. Calculate the original height of the tree.
What acreage has a rectangular plot whose diagonal is 34 meters long and one side has a length of 16 meters. ?
What is the perimeter of a right triangle with the legs 14 cm and 21 cm long?
Ladder 10 meters long is staying against the wall so that its bottom edge is 6 meters away from the wall. What height reaches ladder?
- Perimeter of circle
Calculate the circumference of described circle to the triangle with sides 9,12,15 cm.
I have homework. The cube has an edge 7 cm long and I must find wall and body diagonal.
Rectangular square has side lengths 183 and 244 meters. How many meters will measure the path that leads straight diagonally from one corner to the other?
Ladder 8 m long is leaning against the wall. Its foot is 1 m away from the wall. At which height ladder touches the wall?
Calculate span of the arc, which is part of a circle with diameter d = 20 m and its height is 6 m.
If the endpoints of a diameter of a circle are A(10, -1) and B (3, 10), what is the radius of the circle?
Area of circle inscribed in a square is 14. What is the area of a circle circumscribed around a square?
Railways climb 7.4 ‰. Calculate the height difference between two points on the railway distant 3539 meters.
Calculate the length of the hypotenuse of a right triangle with a catheti 71 cm and 49 cm long.
- Rhombus 2
Calculate the rhombus area, which has a height v=48 mm and shorter diagonal u = 60 mm long.
- Square s3
Calculate the diagonal of the square, where its area is 0.49 cm square. And also calculate its circumference.
- Drainage channel
The cross section of the drainage channel is an isosceles trapezoid whose bases have a length of 1.80 m, 0.90 m and arm has length 0.60 meters. Calculate the depth of the channel.
Rhombus has two diagonals e=14 dm and f=11 dm. Calculate the side angle and height of the rhombus.
Two boys started from one place. First went north at velocity 3 m/s and the second to the east with velocity 4 m/s. How far apart they are after minute?
- Circumscribed circle to square
Find the length of a circle circumscribing a square of side 10 cm. Compare it to the perimeter of this square.
- Diagonal - simple
Calculate the length of the diagonal of a rectangle with dimensions 5 cm and 12 cm.
Pythagorean theorem is the base for the right triangle calculator. Pythagorean theorem - math word problems. Examples for 7th grade (seventh).