Find the angle `A` in `triangle ABC, if angle B=60^∘ and angle c=70^∘`

In the adjacent figure, ABC is a triangle in which angleB = 50^(@) and angleC = 70^(@) . Sides AB and AC are produced. If ‘z’ is the measure of the angle between the bisectors of the exterior angles so formed, then find 'z'.

Let 'P' be an interior point of Delta ABC . If angle A=45^(@), angle B=60^(@) and angle C=75^(@) . If X=area of Delta PBC,Y= area of Delta PAC and Z = area of Delta PAB , then which of the following ratios is/are true ?

The distance of incentre of the right-angled triangle ABC (right angled at A) from B and C are sqrt10 and sqrt5 , respectively. The perimeter of the triangle is _____

If the sines of the angles A and B of a triangle ABC satisfy the equation c^2x^2-c(a+b)x+a b=0 , then the triangle a)acute angled b)right angled c)obtuse angled d) sinA+cosA = ((a+b))/c

In right angle triangle Delta PQR ,right angle at Q,PQ = 6cm and angle RPQ =60^(@) Determine the lengths of QR and PR.

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

In a right angle triangle ABC, right angle is at B ,If tan A=sqrt(3) , then find the value of (i) sin A cos C+ cos A sin C " "(ii) cos A cos C -sin A sin C

Let the angles A , Ba n dC of triangle A B C be in AdotPdot and let b : c be sqrt(3):sqrt(2) . Find angle Adot