In a right angled `DeltaABC, angleA = 90^@ and (5sin^2 B + 7 cos^2 C + 4 )/(3 + 8 tan^2 60^@) = 7/27`,If AC = 3, find the perimeters of `DeltaABC`,

In a right angled DeltaABC,angleACB=90^(@). A circle is inscribed in the triangle with radius r, a, b, c are the lengths of the sides BC, AC and AB respectively. Prove that 2r=a+b-c.

In a right angle triangle ABC, right angle is at C, BC+CA = 23 cm and BC-CA = 7cm ,then find sin A tan B

(cos^2 3 3^(@)-cos^2 5 7^@)/(sin2 1^@-cos2 1^@)=

Consider a DeltaABC in which the sides are a = (n +1), b = (n + 2), c = n with tan C = 4//3 , then the value of Delta is _____

Let n in Z and DeltaABC be a right tirangle with angle at C . If sin A and sin B are the roots of the equadratic equation (5n + 8) x^(2) - (7n - 20) x + 120 = 0 , then find the value of n.

Given A(1,1,1) , B(1, 2, 3) and C(2, 3, 1) are the vertices of DeltaABC . Find the area of DeltaABC .

In DeltaABC , angleA=30^@ , angleB=90^@ , angleC=60^@ , AC=18. Then find AB and BC.