Lyric is fencing her garden, which is in the shape of a right triangle. She measures the base to be 10 feet, the height to be 7 feet. How many feet of fencing will Lyric need to enclose the triangular garden? (round to the nearest tenth)

Step-by-step explanation:

The perimeter of a plane figure is the distance around the figure.

Lyric's garden is triangular. The formula for determining the perimeter of a triangle is expressed as

Perimeter = a + b + c

Where a, b and c are the side lengths of the triangle.

Since the triangle is a right angle triangle, to determine the length, c of the third side, we would apply Pythagoras theorem. It is expressed as

Hypotenuse² = opposite side² + adjacent side²

c² = 10² + 7² = 100 + 49

c = √149 = 12.2 feet

The number of feet of fencing that Lyric needs to enclose the triangular garden is

10 + 7 + 12.2 = 29.2 feet