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Ediebug
Ediebug Ediebug
  • 23-04-2016
  • Mathematics
Answered

Find the answer to the nearest tenth.

The length of the base of a triangle is 3 times the length of its altitude. Find the length of the base if the area of the triangle is 54 m^2.

Verified Answer :

apologiabiology
apologiabiology apologiabiology
  • 23-04-2016

area=1/2bh
h=altitude
b=legnth of base
b is 3 times h
b=3h
divide by 3
b/3=h
area=1/2bh
subsitute b/3 for h
54=1/2(b)(b/3)
multiply bothsides by 2/1
108=b(b/3)
108=(b^2)/3
multipy both sides by 3
324=b^2
square root boh sides
18=b

legnth of base=18

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