Question

The area of a triangle is given by the formula A=12bh
, where A
represents the triangle’s area in square units, and b
and h
are the measures of the triangle’s base and height, respectively. A triangle has an area of 100 cm2
and a height of 10 cm. How long is the base of the triangle?(1 point)
The base of the triangle has a length of
cm.

Answer 1

To find the base \( b \) of the triangle, we can use the area formula:

\[
A = \frac{1}{2} b h
\]

We know the area \( A = 100 \, \text{cm}^2 \) and the height \( h = 10 \, \text{cm} \). We can substitute these values into the formula:

\[
100 = \frac{1}{2} b (10)
\]

Now, simplify the equation:

\[
100 = 5b
\]

Next, solve for \( b \):

\[
b = \frac{100}{5} = 20\, \text{cm}
\]

Thus, the base of the triangle has a length of **20 cm**.