Question

The base and height of a triangle are in the ratio 3:4 and it's area is 96cm find its base and height

Answer 1

Answer:

base = 3×4 = 12cm and height = 4×4 = 16 cm.

Step-by-step explanation:

let the base and height of the triangle are 3x and 4x respectively. then

A.T.Q.

1/2×b×h = 96 cm sq.

(3x)×(4x) = 96×2

12(x)^2 = 96×2

( x )^2 = 16

x. = √16

x = 4cm

and hence, base = 3×4 = 12cm and height = 4×4 = 16 cm.

Answer 2

Step-by-step explanation:

base= 3a

height= 4a

1/2 .3a .4a= 96

6a.a = 96

a. a = 16

a= 4

base= 4.3=12cm

height= 4.4= 16cm