Question

the area of the triangle is 400 square centimeters.
20 cm
what is the triangles height, h?
h = centimeters

Explanation:

Step1: Recall the area formula for a triangle

The area \( A \) of a triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \). Here, the base is \( 20 \) cm, the area \( A \) is \( 400 \) square centimeters, and the height is \( h \) (which we need to find). So the formula becomes \( 400 = \frac{1}{2} \times 20 \times h \).

Step2: Simplify the right - hand side of the equation

First, calculate \( \frac{1}{2} \times 20 \). \( \frac{1}{2}\times20 = 10 \). So the equation is now \( 400=10\times h \).

Step3: Solve for \( h \)

To find \( h \), we divide both sides of the equation \( 400 = 10h \) by \( 10 \). So \( h=\frac{400}{10}=40 \).

Answer:

\( 40 \)