If `triangle` is the area and 2s is the perimeter of `triangleABC`, then prove that `triangle le s^(2)/(3sqrt(3))`

If A is the area and 2s is the sum of the sides of a triangle, then Alt=(s^2)/4 (b) Alt=(s^2)/(3sqrt(3)) 2RsinAsinBsinC (d) non eoft h e s e

In a triangle ABC, prove that (b + c)/(a) le cosec.(A)/(2)

If p_(1), p_(2) and p_(3) are the altitudes of a triangle from the vertices of a Delta ABC and Delta is the area of triangle, prove that : (1)/(p_(1)) + (1)/(p_(2)) - (1)/(p_(3)) = (2ab)/((a+b+c)Delta) cos^(2).(C )/(2)

The area of an equilateral triangle is numerically equal to its perimeter. Find a side of the triangle [Take sqrt(3)=1.73 ].

If Delta denotes the area of any triangle and s its semiperimeter, prove that Delta is less than S^2/4

In a right angles triangle, prove that r+2R=s.

The lengths of the sides of a triangle are in the ratio 2:3:4. If the perimeter of the triangle is 63 cm, find the lengths of the sides of the triangle.

In an equilateral triangle, three coins of radii 1 unit each are kept so that they touch each other and also the sides of the triangle. The area of the triangle is 2sqrt(3) (b) 6+4sqrt(3) 12+(7sqrt(3))/4 (d) 3+(7sqrt(3))/4

In triangleABC , if sqrt(3)sin C=2 sec A-tan A , then prove that triangle is right angled.

In an equilateral triangle with side a, prove that the altitude is of length (a sqrt3)/2