Question

Corresponding side of two similar triangle are in the ratio 2 ratio 3 if the area of similar triangle is 48 cm square find the area of the largest angle

Answer 1

Answer:

108 cm^2

Step-by-step explanation:

Let say side on one triangle =  2a , 2b , 2c

side of other triangle = 3a , 3b , 3c

Area of small Triangle = √(s(s-2a)(s-2b)(s-2c)  while s = (2a+2b+2c)/2

= √(a+b+c)(b+c-a)(a+c-b)(a+b-c) = 48 cm^2

Area of larger triangle = √(s(s-3a)(s-3b)(s-3c)  while s = (3a+3b+3c)/2

= √(3/2)(a+b+c)(3/2)(b+c-a)(3/2)(a+c-b)(3/2)(a+b-c)

= (3/2)(3/2)√(a+b+c)(b+c-a)(a+c-b)(a+b-c)

= (9/4)* 48

= 108 cm^2