Question

sharks teeth are shaped like triangles. the height of a tooth of a certain shark is 3 cm longer than the base. the area is 44 cm^2. Find the height and base.

Answer 1

Area = \[\frac{ 1 }{ 2 }(base)(height)\]
so we know the height is 3cm longer than the base, in other words:

\[height = (base + 3cm)\]
and
so \[44cm ^{2} = \frac{ 1 }{ 2 }(base)(base + 3cm)\] find out the base, then plug back the value of the base into the original equation to find the height.

Answer 2

A) height = 3 cm + base
B) .5 * h * b = 44
h = 44/(.5*b)
h = 88/b multiplying this by -1
-h = -88/b then adding this to A)
h = 3 + b
88/b = 3 + b multiplying both sides by b
88 = 3b + b²
b² + 3b - 88=0

b= -3 +-sqrt(9 - 4*1-88)/2

b=8
h=11

Answer 3

Thank you! :)