. Sheet metal workers' manual; a complete, practical instruction book on the sheet metal industry, machinery and tools, and related subjects, including the oxy-acetylen welding and cutting process . square of the base from the square of the square root of the difference is equal to the lengthof the perpendicular. Perpendicular — V Hypotenuse2 — Base2 or H = V C2 — B2 PRACTICAL GEOMETRY AND MENSURATION 495 To find the hypotenuse of a right-angled trianglewhen the base and the perpendicular are given.—Thesquare root of the sum of the squares of the base andthe perpendicular is eq
. Sheet metal workers' manual; a complete, practical instruction book on the sheet metal industry, machinery and tools, and related subjects, including the oxy-acetylen welding and cutting process . square of the base from the square of the square root of the difference is equal to the lengthof the perpendicular. Perpendicular — V Hypotenuse2 — Base2 or H = V C2 — B2 PRACTICAL GEOMETRY AND MENSURATION 495 To find the hypotenuse of a right-angled trianglewhen the base and the perpendicular are given.—Thesquare root of the sum of the squares of the base andthe perpendicular is equal to the length of the hypothe-nuse. Hypotenuse = V Base2 + Perpendicular2C = V B2 + H2 To find the perpendicular height of any oblique angledtriangle.—Figure 73. From half the sum of the three. sides of the triangle, subtract each side severally. Mul-tiply the half sum and the three remainders togetherand twice the square root of the result, divided by thebase of the triangle, will be the height of the perpen-dicular. D: 2V S (S —A) (S —B) (S —C) S = CSum of sides To find the area of any oblique angled triangle whenonly the three sides are given.—From half the sum 01the three sides, subtract each side severally. Multiply 496 SHEET METAL WORKERS MANUAL the half sum and the three remainders together and thesquare root of the product is equal to the area required. Area=VS(S —A) (S —B) (S —C) To find the height of the perpendicular and the twosides of any triangle inscribed in a semicircle, when the
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