Question

the base and height of a triangle are in the ratio 4: 5. if it's area is 1000 cm^2, find its base and height

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Answer 1

Answer:

let the base and height=4x and 5x

area of triangle =1000cmsq

therefore 1/2*4x*5x=1000

2x*5x=1000

10xsq=1000

xsq=100

x=root100

therefore x=10

base of a triangle =4x=4*10=40cm

height of triangle =5x=5*10=50cm

Answer 2

Answer:

The base and the height of a triangle are in the ratio =4:5

So,

Base=4x

Height=5x

Since, area of the triangle =40 m

2

2

1

×4x×5x=40

20x

2

=80

x

2

=4

x=2

Therefore,

Base=4×2=8 m

Height=5×2=10 m