Question

the base and height of the triangle are in the ratio 3 :2 if the area of the triangle is 243 square cm find the base and height of the triangle

Answer 1

Area = 243

Take the base and height 3x and 2x

1/2*b*h=1/2*3x*2x=243

3x*2x=243*2

x²=243*2/6

x²=81

x=9

3x= 3*9=27(base)

2x=2*9=18(height)

Hope this helps you friend
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Answer 2

Take AREA as 243

Take the base as 3x and height as 2x

As the area of a triangle is:-

1/2*b*h

It will be :-

1/2*3x*2x= 243cm

Take 2 other side from the denominator:-

2x*3x=243*2

Take multiplication to other side becomes

x.square=243*2/6=81

Now x=√81=9

3x=3*9= 27 which is the base.

2x=2*9 which is the height/altitude.