a triangle has an area of 90 cm square find the length of the base if the base is 3 cm more than height
Answers
Answered by
18
Answer:
15cm
Step-by-step explanation:
given,
area of triangle =90cm²
and
let
height is x
length of base is x+3
we know, area of triangle =(height*base)/2
=> 90=x.(x+3)/2
=> 180= x²+3x
=> x²+3x -180= 0
=> x²+15x-12x-180=0
=> x(x+15)-12(x+15)=0
=> (x-12)(x+15)=0
=> x=12 and x=-15
length can never be negative so,
height =x= 12
and
length of base is x+3=12+3
=15cm
Answered by
8
Answer:
15cm
Step-by-step explanation:
given,
area of triangle =90cm²
and
let
height is x
length of base is x+3
we know, area of triangle =(height*base)/2
=> 90=x.(x+3)/2
=> 180= x²+3x
=> x²+3x -180= 0
=> x²+15x-12x-180=0
=> x(x+15)-12(x+15)=0
=> (x-12)(x+15)=0
=> x=12 and x=-15
length can never be negative so,
height =x= 12
and
length of base is x+3=12+3
=15cm
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