The area of two equilateral triangles are in the ratio 25 : 36. Their altitudes will be in the ratio : 

From a point in the interior of an equilateral triangle, the length of the perpendiculars to the three sides are 6 cm, 8 cm and 10 cm respectively. The area of the triangle is

In an isosceles triangle, the measure of each of equal sides is 10 cm and the angle between them is 45°. the area of the triangle is

The diagonal of a right angle isosceles triangle is 5 cm. Its area will be

$$(1+tan θ+secθ)(1+cotθ-cosecθ)\over (sec θ+tan θ)(1-sin θ) $$ is equal to :

The graphs of the linear equations 3x-2y=8 and 4x+3y=5 interest at the point P(α, β). What is the value of (2 α - β)?

If x²+4y²=17 and xy=2, where x>0,y>0, then what is the value of x³+8y³?

if a+b+c=7 and a³+b³+c³-3abc=175, then what is the value of (ab+bc+ca)?