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LaoWhat is a diagonal line
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What is the length of a diagonal line in a rectangle 30 feet by 20 feet?
You can calculate this using the Pythagorean formula for a right triangle.
What 2 triangles form when you draw a diagonal line across a rectangle?
right triangles and
What is a cross section of a square?
It depends on the inclination of the line of cross section. If it is at an incline to the sides and diagonal, the cross section is a point which becomes a line that increases in length, reaches a maximum, remains at that length and then shrinks back to a point. If it is parallel to a diagonal, the cross section is a point which becomes a line that increases in length, reaches a maximum and then shrinks back to a point. If it is parallel to a side, the cross section is a line of constant length.
What are the coordinates of the center of a rectangle?
Just find the midpoint of opposite corners Consider the rectangle with sides of length a and b. The length of a diagonal is then sqrt(a2+b2) The two diagonals cross at the midpoint or where the length of the line from one vertex to the center is one half of a diagonal or (0.5)[sqrt(a2+b2)]. 1- Consider you have Point A(XA,YA) corresponding to the upper left coordinate of the rectangle and you have Point B(XB, YB) corresponding to the lower right coordinate of the rectangle, then, coordinates of the center Point C (XC, YC) is calculated: XC = XA + (XB-XA)/2 YC = YA - (YA-XB)/2 2- Consider you have Point A(XA,YA) corresponding to the upper left coordinate of the rectangle and the width (W) and height (H) of the rectangle, then, coordinates of the center Point C (XC, YC) is calculated: XC = XA + (W)/2 YC = YA - (W)/2
How long is the longest line segment that will fit inside a square area of 50 square feet?
If the square then the area = side * side.A = 50therefore side = square root of 50The longest line that fits in a square is a diagonal line from corner to corner. The length of this can be calculated using pythogoras' theorem.A2 + B2 = C2For this specific square A = B = squareroot of 50So 50 + 50 = C2C2 = 100C = 10The longest line is 10 feet
