the area of the triangle is 72 CM square and the Three attitudes measures 24 cm 18 cm and 16 cm find the perimeter of the triangle
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Answer:
1)first,h=24cm
area of triangle =1/2*b*h
72=1/2*b*24
72/24=1/2*b
3=1/2*b
3*2=b
b=6cm
2)second,h=18cm
area of triangle =1/2*b*h
72=1/2*b*18
72/18=1/2*b
4=1/2*b
b=4*2
b=8cm
3)h=16
area of triangle =1/2*b*h
72=1/2*b*16
72/16*2=b
b=9cm
perimeter of triangle =sum of all sides
perimeter =b1+b2+b3
perimeter =6+8+9
perimeter of triangle =23cm
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AE=24cm
BF=18cm
CD=16cm
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½×AE×BC=72
½×24×BC=72
BC=6cm
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½×BF×AC=72
½×18×AC=72
AC=8cm
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½×CD×AB=72
½×16×AB= 72
AB=9cm
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perimeter= AB+ BC + AC
= 6+8+9=23cm
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