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

#### Number of problems found: 97

- Diagonal

Calculate the diagonal length of the rectangle ABCD with sides a = 8 cm, b = 7 cm. - Base

Compute base of an isosceles triangle, with the arm a=20 cm and a height above the base h=10 cm. - Road embankment

Road embankment has a cross-section shape of an isosceles trapezoid with bases 5 m and 7 m, and 2 m long leg. How many cubic meters of soil is in embankment length of 1474 meters? - Bridge

The bridge arc has a span 34 m and height 3 m. Calculate the radius of the circle arc of this bridge. - Arc

Calculate span of the arc, which is part of a circle with diameter d = 20 m and its height is 6 m. - Height UT

How long is height in the equilateral triangle with a side b = 43? - Square

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? - Rhombus

Find the length of the other diagonal and area of the rhombus. The perimeter of a rhombus is 40 cm and one of the diagonals is of length 10 cm. - Height

Calculate height of the equilateral triangle if its perimeter is 8? - Rectangle

The rectangle is 21 cm long and 38 cm wide. Determine the radius of the circle circumscribing rectangle. - Garden

The area of a square garden is 2/9 of triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need to fence a square garden? - Rhombus ABCD

Rhombus ABCD, |AC| = 90 cm, |BD| = 49 cm. Calculate the perimeter of the rhombus ABCD. - IS trapezoid

Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm. - Area 4gon

Calculate the area of 4-gon, two, and the two sides are equal and parallel with lengths 11, 5, 11, and 5. Inner angles are 45°, 135°,45°, 135°. - Right isosceles

Calculate area of the isosceles right triangle which perimeter is 26 cm. - Triangle

Can an equilateral triangle have a right angle? - Square

Calculate area of the square with diagonal 64 cm. - Is right?

Is a triangle with sides 51, 56, and 77 right triangle? - Equilateral triangle

Calculate the side of an equilateral triangle if its area is 892 mm². - Ladder

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?

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