In an isosceles triangle, the measure of each of the equal sides is 10 cm and the angle between them is `45o` . The area of the triangle is `25\ c m^2` (b) `(25)/2sqrt(2)\ c m^2` (c) `25sqrt(2)\ c m^2` (d) `25sqrt(3)\ c m^2`

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 perimeter of an isosceles triangle is equal to 14 cm and the lateral side is to the base in the ratio 5:4. The area of the triangle is (a) 21cm2(b)0.5sqrt(21)cm^(2) (c) 1.5sqrt(21)cm^(2) (d) 2sqrt(21)cm^(2)

A B\ a n d\ C D are two parallel chords of a circle with centre O such that A B=6\ c m\ a n d\ C D=12\ c mdot The chords are on the same side of the centre and the distance between them is 3 cm. The radius of the circle is 6\ c m (b) 5\ sqrt(2)\ c m (c) 7\ c m (d) 3\ sqrt(5)\ c m

The perimeter of a triangle is 30 cm and the circumference of its incircle is 88 cm. The area of the triangle is (a) 70\ c m^2 (b) 140\ c m^2 (c) 210\ c m^2 (d) 420\ c m^2

The hypotenuse of a right-angled isosceles triangle is 5cm. The area of the triangle is (a) 5cm2 (b) 6.25cm2 (c) 6.5cm2 (d) 12.5cm2

If the difference between the circumference and radius of a circle is 37 cm, then its area is (a) 154\ c m^2 (b) 160\ c m^2 (c) 200\ c m^2 (d) 150\ c m^2

The altitude of an equilateral triangle of side 2sqrt(3) c m is 1/2c m (b) (sqrt(3))/4c m (c) (sqrt(3))/2c m (d) 3 c m

The three sides of a trapezium are equal, each being 8cm. The area of the trapezium, where it is maximum, is (a)24sqrt(3) c m^2 (b) 48sqrt(3)c m^2 (c)72sqrt(3)c m^2 (d) none of these

Let the area of triangle ABC be (sqrt3 -1)//2, b = 2 and c = (sqrt3 -1), and angleA be acute. The measure of the angle C is