a rectangular sheet of glass is 24 inches long and 18 inches wide. a glazier wants to cut the glass along its diagonal to make it a triangular windowpane. What will be the dimension of the windowpane.
a^2 + b^2 = c^2
24^2 + 18^2 = c^2
576 + 324 = 900
c = 30 inches
Thank you Ms. Sue
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To find the dimensions of the triangular windowpane, we need to find the length of the diagonal. Since we have a rectangular sheet of glass, the diagonal will form a right triangle with the length and width of the glass as its sides.
Using the Pythagorean theorem, we can calculate the diagonal (d) as follows:
d^2 = length^2 + width^2
Substituting the given values:
d^2 = 24^2 + 18^2
d^2 = 576 + 324
d^2 = 900
Taking the square root of both sides:
d = √900
d = 30
Therefore, the length of the diagonal of the rectangular sheet of glass is 30 inches. Since the glazier wants to cut the glass along its diagonal to form a triangular windowpane, the diagonal itself will be the longest side of the triangle.
Hence, the dimension of the triangular windowpane will be 30 inches.