The area of a triangle is half the product of its height and base.
h=5
Perimeter≈ 24.2
Practice makes perfect
The area of a triangle is half the product of its height and base.
A=1/2bh
From the exercise, we know that the area is 25 square feet. The base, which is perpendicular to the height, is the sum of the segments that's 6 and 4.
If we substitute the base and area into the formula, we can solve for its height.
The height is 5 inches. To find the perimeter, we also need to know the remaining two sides of the triangle, which we will label c and z. Notice that these sides are the hypotenuse of a right triangle which means we can use the Pythagorean Theorem to solve for these sides.
When we know all of the sides, we can calculate the perimeter by adding them. Note that the triangle's height is not a part of the triangle's perimeter.
6+4+sqrt(41)+sqrt(61)≈ 24.2
