Question

# If the area of a triangle is 54 cm2  and its height is three times its base, then find the base.6 cm7 cm6.5 cm7.5 cm

Solution

## The correct option is A 6 cmArea of a triangle =12×base×height Let the base be x. ⇒ height =3x ⇒54=(12)×x×3x ⇒3x2=108 ⇒x2=36 ⇒x=±6 Now, we know that base cannot be negative. ∴ base =6 cm

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