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The formula for finding the length of one of the sides of a right angle triangle is a2+b2=c2, with a and b the legs and c the hypoteneus. If the triangle is Isosceles, which means that 2 of its sides are equal, the length of each leg would be aproximately 7.778184593
An angle cannot have an area. It is possible, however, that the question is about a right angled triangle. Suppose the lengths of the two legs are x cm and y cm by Pythagoras, x2 + y2 = 52 = 25 and perimeter = 12 => x + y + 5 = 12 => x + y = 7 So (x + y)2 = 49 ie x2 + 2xy + y2 = 49 But x2 + y2 = 25 so 2xy = 49 - 25 = 24 So area of triangle = 0.5*xy = 24/4 = 6 sq cm
For side lengths of any triangles not right angled (that would be the Hypoteneus ^2 = side A^2 + side B^2 ) there are the laws for oblique triangles. They are: 1) The law of Sines: a/ sinA = b/ sinB = c/ sinC. Once you have any 2 side measures and the accompanying angular measure (or 2 angular measures and one side measure), then treat it as a proportion. 2) The law of Cosines: a^2= b^2+c^2 - 2bc (cos a) 3) The law of Tangents: a-b/a+b= tan [1/2 (a-b)] / tan [1/2 (a+b)