Question

the area of the triangle is 3 square feet.
what is the triangles height, h?
h = \boxed{} feet

Explanation:

Step1: Recall the area formula for a triangle

The area \( A \) of a right triangle (since it has a right angle) is given by \( A=\frac{1}{2}\times base\times height \). Here, the base is \( 3 \) feet, the area \( A = 3 \) square feet, and the height is \( h \) (which we need to find). So the formula becomes \( 3=\frac{1}{2}\times3\times h \).

Step2: Solve for \( h \)

First, simplify the right - hand side of the equation: \( \frac{1}{2}\times3\times h=\frac{3h}{2} \). So our equation is \( 3 = \frac{3h}{2} \).
Multiply both sides of the equation by \( 2 \) to get rid of the denominator on the right - hand side: \( 3\times2=\frac{3h}{2}\times2 \), which simplifies to \( 6 = 3h \).
Then, divide both sides of the equation by \( 3 \): \( h=\frac{6}{3}=2 \).

Answer:

\( 2 \)