Question

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.

Answer 1

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