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

#### Number of problems found: 99

• Triangle Can be rectangular triangle equilateral?
• Height UT How long is height in the equilateral triangle with a side b = 43?
• Median In the right triangle are sides a=41 dm b=42 dm. Calculate the length of the medians tc to the hypotenuse.
• Trio 2 Decide whether a trio of numbers is the side of a right triangle: 26,24,10.
• Square Calculate area of the square with diagonal 64 cm.
• Height Calculate height of the equilateral triangle if its perimeter is 8?
• 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, 24 dm ?
• Diagonal of square Calculate the side of a square when its diagonal is 10 cm.
• Bridge The bridge arc has a span 34 m and height 3 m. Calculate the radius of the circle arc of this bridge.
• Box Calculate the angle between box base 9 x 14 and body diagonal length 18.
• Square Calculate the perimeter and the area of square with a diagonal length 30 cm.
• Equilateral triangle Calculate the side of an equilateral triangle, if its area is 892 mm2.
• Octagon We have a square with side 84 cm. We cut the corners to make his octagon. What will be the side of the octagon?
• Windbreak A tree at a height of 3 meters broke in the windbreak. Its peak fell 4.5 m from the tree. How tall was the tree?
• EQL triangle Calculate inradius and circumradius of equilateral triangle with side a=77 cm.
• Is right? Is a triangle with sides 51, 56, and 77 right triangle?
• Is right triangle or not If right triangle ABC, have sides a=13, b=11.5, c=22.5. Find area.
• Trapezoid ABCD Calculate the perimeter of trapezoid ABCD if we know the side c=15, b=19 which is also a height and side d=20.
• Base Compute base of an isosceles triangle, with the arm a=20 cm and a height above the base h=10 cm. The ladder has a length 3.5 meters. He is leaning against the wall so that his bottom end is 2 meters away from the wall. Determine the height of the ladder.