Question

How do I find the base of a triangle if I am given the area (\[48\] sq. inches) and the height which is \[16\] inches?

Answer 1

Hint: In the given question, we have been given the area of a triangle. We have also been given the height of the triangle. Using the given information, we have to calculate the base of the triangle. To do that, we can easily solve it using the formula of the area of a triangle which involves base and height. We write the formula, put in the values, and solve to find the answer.

Formula Used:
We are going to use the formula of area of a triangle, which is:
\[area = \dfrac{1}{2} \times base \times height\]

Complete step by step answer:
The area of the triangle is \[A = 48\], the height is \[H = 16\] and let the base be \[B\].
We are going to use the formula of area of a triangle, which is:
\[A = \dfrac{1}{2} \times B \times H\]
Putting in the values, we get:
\[48 = \dfrac{1}{2} \times 16 \times B\]
Cancelling \[16\] by \[2\] to get \[8\], we have,
\[48 = 8 \times B\]
Taking \[8\] to the other side, we have,
\[B = \dfrac{{48}}{8} = 6\]

Hence, the base of the given triangle is \[6\] inches.

Note: In the given question, we had to calculate the base of a triangle whose height and the area was given. To do that, we wrote the formula of the area of the triangle which involves the use of height and base. Then we put in the values and simplify for the base and we had our answer. So, to solve any question of such kind, it is crucial that we know the formula for such uses.