Question

 The area of a triangle is 600sq. cm. and its altitude is 80cm., then its base is ​

Answer 1

Answer:

Given base of triangle exceeds altitude by 10 cm

Let the altitude be x cm

Therefore, base =(x+10) cm

Area of triangle =

2

1

× base × altitude

⇒600=

2

1

×(x+10)×x

⇒1200=x

2

+10x

⇒x

2

+10x−1200=0

⇒x

2

+40x−30x−1200=0

⇒x(x+40)−30(x+40)=0

⇒(x+40)(x−30)=0

∴x=−40,x=30

But x cannot be negative.

Hence, x=30cm

That is altitude=30cm

∴ Base=40cm

Answer 2

Answer:

15

Step-by-step explanation:

Area of triangle= 1/2 *b *h

600=1/2*80*b

1200=80*b

b=1200/80

b = 15

base =15 cm