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在关于直角三角形的最佳问题中,有以下几个重要定理: 定理一若直角三角形的两直角边和为定值,则当两锐角相等时,斜边有最小值(或周长有最小值),且面积有最大值,(证明略)。定理二若直角三角形的斜边为定值,则当两锐角相等时,两直角边和有最大值(或周长有最大值),且面积有最大值。(证明略)。定理三若直角三角形的周长为定值,则当两锐角相等时,斜边有最小值(或两直角边和有最大值),且面积有最大值。
There are several important theorems in the best question about right triangles: Theorem One If the right-angled sides of a right-angled triangle are constant, when the two acute angles are equal, the hypotenuse has a minimum (or the perimeter has a minimum value) ), and the area has a maximum value, (proof is omitted). Theorem 2. If the hypotenuse of the right-angled triangle is constant, then when the two acute angles are equal, the sum of the two right-angled sides has a maximum value (or the perimeter has a maximum value), and the area has a maximum value. (Protocol omitted). Theorem 3 If the perimeter of a right-angled triangle is constant, when the two acute angles are equal, the hypotenuse has a minimum value (or two right-angled edges and a maximum value), and the area has a maximum value.