# Pythagorean theorem - 7th grade (12y) - math problems

#### Number of problems found: 97

• Is right triangle or not
If right triangle ABC, have sides a=13, b=11.5, c=22.5. Find area.
• Square
Calculate the perimeter and the area of square with a diagonal length 30 cm.
• 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?
• Diagonal of square
Calculate the side of a square when its diagonal is 10 cm.
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?
• Hypotenuse
Calculate the length of the hypotenuse of a right triangle if the length of one leg is 4 cm and its content area is 16 square centimeters.
• Plane II
A plane flew 50 km on a bearing 63degrees20, and the flew on a bearing 153degrees20 for 140km. Find the distance between the starting point and the ending point.
• Square s3
Calculate the diagonal of the square, where its area is 0.49 cm square. And also calculate its circumference.
• Minute
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?
• Rhumbline
Find circumference and area of the rhumbline ABCD if the short side AD of which has a length of 5 cm, and the heel of the height from D leading to the AB side divides the AB side into two sections of 3 cm and 4 cm.
• 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.
• Rectangular triangle PQR
In the rectangular triangle PQR, the PQ leg is divided by the X point into two segments of which longer is 25cm long. The second leg PR has a length 16 cm. The length of the RX is 20 cm. Calculate the length p of side RQ. The result is round to 2 decimal
• Face of the house
How tall is the gable of a house in the shape of an isosceles triangle with a base length of 8 meters and an arm 5 meters long?
• 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.
• Rectangular trapezium
Calculate the perimeter of a rectangular trapezium when its content area is 576 cm2 and sice a (base) is 30 cm, height 24 cm.
• Perimeter of circle
Calculate the circumference of described circle to the triangle with sides 9,12,15 cm.
• 6 regular polygon
It is given 6 side regular polygon whose side is 5 cm. Calculate its content area. Compare how many more cm2 (square centimeters) has a circle in which is inscribed the 6-gon.
• Hexagon area
The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area.
• Kite
John a kite, which is diamond-shaped. Its diagonals are 60 cm long and 90 cm long. Calculate: a) the diamond side b) how much paper John needs to make a kite if he needs a paper on both sides and needs 5% of the paper for bending.
• Circle chord
Calculate the length of the chord of the circle with radius r = 10 cm, length of which is equal to the distance from the center of the circle.

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Pythagorean theorem is the base for the right triangle calculator. Pythagorean theorem - math problems. Examples for 7th grade (seventh).