the height of a triangle is 4m more than twice the length of the base. the area of the triangle is 35m^2. find the height of the triangle.
= length of base
= length of height
area formula: A=1/2 bh
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Answer:
A=bh2
35=b∗(2b+4)2
35=2b2+4b2
35=b2+2b
17.5=(b2/2)+b=b2+2b/2
Does this sound 'a bit' familiar? n2+n=n(n+1)
35=b2+2b=b(b+2)
Factors of 35 = 1,5,7,35
5 and 7 have a difference of 2. So, b=5
35=5(5+2)
H=2B+4=14in.
Height = 14 inches.
Step-by-step explanation:
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