Question

The area of a triangle is 30cm^2. Find the base if the altitude exceeds the base by 7cm.

Answer 1

let base=a,
then altitude=(a+7),

30=1/2 × a×(a+7),

60=a(a+7),

therefore
a=5,

base=5cm

Answer 2

Answer:

Base=5cm

Step-by-step explanation:

let base BC =xcm then altitude=(x+7)

Area of triangle ABC=1/2*b*h

=>30=1/2*(x)*(x+7)

=>60=x²+7x

=>x²+7x-60=0

=>x²+12x-5x-60=0

=>x(x+12)-5(x+12)=0

=>(x-5) (x+12)=0

=>x=5 or x=-12

=>x=5 [since x=-12 not possible]

Therefore, the base (x)=5cm

Altitude =>x+7

=>12cm.

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