Answer:
[tex]\frac{984}{17}[/tex] or around 57.88
Step-by-step explanation:
We can find the base length by using the formula for the area of a triangle.
[tex]A=\frac{bh}{2}[/tex]
Plug in the values that we know, the area and the height, and solve for [tex]b[/tex].
[tex]493=\frac{17b}{2}[/tex]
[tex]984=17b[/tex]
[tex]b=\frac{984}{17}
So the base is [tex]\frac{984}{17}[/tex] or about 57.88 if you round to the nearest hundredth.
Answer:
58 meters
Step-by-step explanation:
We are looking for the length of the base of a triangle, given the height and area. The formula for the area of a triangle
A=1/2 bh
relates A= the area, b= length of the base, and h= the height of a triangle, so this is the formula we should use.
We are given that the area of the triangle is A=493 and the height h=17. Substitute this information into the formula and solve for b to find
A=493
493=1/2⋅b⋅17
493=17/2b
58=b
The length of the base is 58 meters.
