Math, asked by fairoza331, 11 months ago

base of a triangle is 40cm longer than it's attitude .if the area of the triangle is 48sq.cm.the base of triangle is

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Answered by swetha28141
0

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Answered by Anonymous
18

Let ,

Area of triangle =48cm²

base=b

altitude =h

According to question:-

=>b=h+4

 \mathbf \green{formula \: used}

Area of triangle =1/2×b×h

 \mathbf \red{solution}

Putting the value

Now,

48cm²=1/2×(h+4)×h

=>48×2=h²+4h

=>96=h²+4h

=>0=h²+4h- 96

=>0=h²+12h-8h-96

=>0=h(h+12)-8(h+12)

=>0=(h+12)(h-8)

so,

h+12=0 or h-8=0

=>h=-12 or h=8

but length can't be negative.

so,b=h+4=8+4=12cm

Answer is 12 cm

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