# Square root + triangle - math problems

#### Number of problems found: 140

• Right angled From the right triangle with legs 12 cm and 20 cm we built a square with the same content as the triangle. How long will be side of the square?
• Geodesist Triangle shaped field (triangle ABC) has side AB = 129 m. path XY is parallel to the side AB which divided triangle ABC into two parts with same area. What will be the length of the path XY? Help please geodesist ...
• Without Euclid laws Right triangle ABC with right angle at the C has a=14 and hypotenuse c=26. Calculate the height h of this triangle without the use of Euclidean laws.
• Leg and height Solve right triangle with height v = 9.6 m and shorter cathetus b = 17.3 m.
• Canopy Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. How many kg of color must he buy if the manufacturer specifies the consumption of 1 kg to 3.3 m2?
• Oil rig The oil drilling rig is 23 meters in height and fixes the ropes, which ends are 7 meters away from the foot of the tower. How long are these ropes?
• Diagonal Calculate the diagonal length of the rectangle ABCD with sides a = 8 cm, b = 7 cm.
• Arm Calculate the length of the arm r of isosceles triangle ABC, with base |AB| = 14 cm and a height v=18 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 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?
• Arc Calculate span of the arc, which is part of a circle with diameter d = 20 m and its height is 6 m.
• Square2 Side of the square is a = 6.2 cm, how long is its diagonal?
• 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?
• 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 and inscribed circle It is given a rhombus with side a = 6 cm and the radius of the inscribed circle r = 2 cm. Calculate the length of its two diagonals.
• Height Calculate height of the equilateral triangle if its perimeter is 8?
• R Trapezium Rectangular trapezium has bases 21 and 10 and area 92 cm2. What is its perimeter?
• Tetrahedral pyramid What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16?
• Triangle ABC Calculate the sides of triangle ABC with area 1404 cm2 and if a: b: c = 12:7:18

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