50 ft providing that it is a right angle triangle.
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Width: 1200/40 = 30 feet
The hypotenuse is always the longest side so the triangle, as described, cannot exist.
Using Pythagoras' theorem the length of the hypotenuse is 10 feet which will be the length of the string needed
Isosceles triangles have two sides which are the same length and two angles which are equal. So if your right triangle has one side of length 2 feet, which is not the hypotenuse, then the remaining side must also be 2 feet long. We know that the square of the length of the hypotenuse is equal to the squares of the other two sides. 2 squared is 4. So the squares of the two sides are 4 + 4 which equals 8. Now we just find the square root of 8, which is 2.8284... So the length of the hypotenuse is 2.83 Feet (to two decimal places). Or, In a right isosceles triangle, the two base angles equal 45°. Since the length leg is 2 ft, then the hypotenuse length would be equal to 2√2 or approximately to 2.83 ft. sin 45° = leg/hypotenuse hypotenuse = 2/sin 45° hypotenuse = 2/(√2/2) hypotenuse = 4/√2 hypotenuse = 4√2/2 hypotenuse = 2√2 °
9.219 ft