Question

Find the area if the figure please help

Answer 1

`A = 125 \textrm{ yd}^2`

Explanation:

The area of a triangle can be solved for using the formula:

`A_\triangle = (1)/(2)b h`

where
`b` is the length of the triangle's base and
`h` is the length of its height (altitude).

Both
`b` and
`h` are given to us for the shown triangle, so all we have to do is plug the given values into the triangle area formula above.

`A = (1)/(2) \cdot 10 \cdot 25`

`A = 5 \cdot 25`

`A = 125 \textrm{ yd}^2`

Note that the height of the triangle is given on the outline of an auxiliary (dotted) right triangle. This is just to show that the height is in fact an altitude, meaning it is perpendicular to the base, not at the angle of the triangle's other sides.