Question

Darren cut along a diagonal line across a sheet of paper to make a triangle. The paper was 10 inches long and 8 inches wide. What is the area of the triangle he created?

Answer 1

Answer:

$40 in^2$

Step-by-step explanation:

The initial dimensions of the paper are:

$L=10 in$ (length)

$W=8 in$ (width)

After the paper is cut along the diagonal, we remain with a right triangle, of which the length and the width corresponds to the base and the height.

For a triangle, the area is calculated as

$A=\frac{1}{2}bh$

where

b is the base

h is the height

Here we have:

$b=L=10 in\\h=W=8 in$

Therefore, the area of the triangle is:

$A=\frac{1}{2}(10)(8)=40 in^2$