The lengths of the sides of a triangle are in the ratio 3 : 4 : 5. Find the area of the triangle if its perimeter is 144 cm.

ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate :

(i) the area of Δ ABC,

(ii) the length of perpendicular from A to BC.

Find the area of an isosceles triangle with perimeter 36 cm and base 16 cm.

The base of an isosceles triangle is 24 cm and its area is 192 sq. cm. Find its perimeter.