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
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If it is an equilateral triangle with 3 equal sides of 4cm then its perimeter is 12cm
A right triangle with a hypotenuse of 12cm and an angle 30 degrees has an opposite angle of: 60 degrees.
It will be a right angle triangle with a base of 3cm, a height of 4cm and a hypotenuse of 5cm
No. The maximum are is attained when it is equilateral and that is less than 7 cm2
It is necessary to mention that the two triangles are similar.Let the perimeter of the triangle MNP be x cm.Since the triangles XYZ and MNP are similar triangles,8/12 = x/80 (multiply both sides by 80)640/12 = x53.3333... = x53 3/9 = x53 1/3 = xThus, the perimeter of the triangle MNP is 53 1/3 cm.