find the percentage increase in the area of a triangle if its each side is doubled
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s =a+b+c/2
A=√s(s-a)(s-b)(s-c)
now sides of triangle are 2a , 2b and 2c
s1= 2a+2b+2c/2
=>s1 =2(a+b+c)/2
=>s1 =2s
A1 =√2s(2s-2a)(2s-2b)(2s-2c)
=>A1=4×√s(s-a)(s-b)(s-c)
=>A1=4A
PERCENTAGE INCREASE =A1-A/A×100
=4A-A/A×100
=3A/A×100
=3×100
=300%
A=√s(s-a)(s-b)(s-c)
now sides of triangle are 2a , 2b and 2c
s1= 2a+2b+2c/2
=>s1 =2(a+b+c)/2
=>s1 =2s
A1 =√2s(2s-2a)(2s-2b)(2s-2c)
=>A1=4×√s(s-a)(s-b)(s-c)
=>A1=4A
PERCENTAGE INCREASE =A1-A/A×100
=4A-A/A×100
=3A/A×100
=3×100
=300%
gshshshsvsgs:
plz you can explain it
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