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

#### Number of problems found: 97

• Height UT How long is height in the equilateral triangle with a side b = 43?
• Reverse Pythagorean theorem Given are lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 77 dm, 85 dm, 36 dm ... Δ DEF: 55 dm, 82 dm, 61 dm ... Δ GHI: 24 mm, 25 mm, 7 mm ... Δ JKL: 32 dm, 51 dm, 82 dm ... Δ MNO: 51 dm, 45 dm,
• 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?
• Box Calculate the angle between box base 9 x 14 and body diagonal length 18.
• Rotating cone II Calculate area of surface of rotating cone with base radius r=19 cm and height h=9 cm.
• Equilateral triangle Calculate the side of an equilateral triangle if its area is 892 mm2. 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?