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Date: 9-2-2017
1005
Date: 13-2-2017
992
Date: 9-2-2017
1102
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Solving of right-angled triangles
Solving of right-angled triangles:
by two sides, by a side and an acute angle.
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By two sides. If two sides of a right-angled triangle are given, then the third side can becalculated by the Pythagorean theorem ( see the paragraph of the same name in the section "Triangle" of the part "Geometry" ). Acute angles are determined by one of the three firstformulas for trigonometric functions, depending on the fact what sides are known. Forinstance, if legs a and b are given, then angle A is determined by the formula:
tan A = a / b .
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By a side and an acute angle. If one acute angle A is given, then another acute angle B is found as: B = 90° – A . Sides are found by formulas of trigonometric functions, rewritten as: a = c sin A , b = c cos A , a = b tan A ,
b = c sin B , a = c cos B , b = a tan B .
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لحماية التراث الوطني.. العتبة العباسية تعلن عن ترميم أكثر من 200 وثيقة خلال عام 2024
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