Question

A triangular flag has an area of 493 square meters and a height of 17 meters. What is the length of the base

Answer 1

Answer:

$\frac{984}{17}$ or around 57.88

Step-by-step explanation:

We can find the base length by using the formula for the area of a triangle.

$A=\frac{bh}{2}$

Plug in the values that we know, the area and the height, and solve for $b$.

$493=\frac{17b}{2}$

$984=17b$

$b=\frac{984}{17}So the base is [tex]\frac{984}{17}$ or about 57.88 if you round to the nearest hundredth.

Answer 2

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.