Find the least value of `secA+secB+secC` in an acute angled triangle.

Find the least value of sec A+secB+secC in an acute angled triangle

The angles of a triangle are (2x)^(@), (3x + 5)^(@) and (4x − 14)^(@) . Find the value of x and the measure of each angle of the triangle

Point D,E are taken on the side BC of an acute angled triangle ABC,, such that BD = DE = EC . If angle BAD = x, angle DAE = y and angle EAC = z then the value of (sin(x+y) sin (y+z))/(sinx sin z) is ______

Let O be the circumcentre and H be the orthocentre of an acute angled triangle ABC. If A gt B gt C , then show that Ar (Delta BOH) = Ar (Delta AOH) + Ar (Delta COH)

Let A,B,C, be three angles such that A=pi/4 and tanB tanC=pdot Find all possible values of p such that A , B ,C are the angles of a triangle.

Let A,B,C, be three angles such that A=pi/4 and tanB tanC=pdot Find all possible values of p such that A , B ,C are the angles of a triangle.

If vec xa n d vec y are two non-collinear vectors and A B C isa triangle with side lengths a ,b ,a n dc satisfying (20 a-15 b) vec x+(15b-12 c) vec y+(12 c-20 a)( vec xxx vec y)=0, then triangle A B C is a. an acute-angled triangle b. an obtuse-angled triangle c. a right-angled triangle d. an isosceles triangle