Follow the directions. Use the drawing for \#18-19. 18. What is the area of one triangle with a base of \( 12^{\text {" }} \) and a height of \( 5 \sqrt{6} \) inches? How many triangles make up the figure?

To find the area of one triangle, we can use the formula for the area of a triangle: \[ A = \frac{1}{2} \times b \times h \] where \( A \) is the area, \( b \) is the base, and \( h \) is the height. ### Step 1: Calculate the area of one triangle Given: - Base \( b = 12 \) inches - Height \( h = 5\sqrt{6} \) inches Substituting the values into the area formula: \[ A = \frac{1}{2} \times 12 \times 5\sqrt{6} \] Calculating this step by step: 1. Calculate \( 12 \times 5\sqrt{6} \): \[ 12 \times 5 = 60 \] So, \[ 12 \times 5\sqrt{6} = 60\sqrt{6} \] 2. Now, calculate the area: \[ A = \frac{1}{2} \times 60\sqrt{6} = 30\sqrt{6} \] ### Step 2: Determine how many triangles make up the figure Since the problem does not provide a visual representation of the figure, I cannot determine the number of triangles without additional information. If you can provide the number of triangles or describe the figure, I can assist further. ### Final Answer - The area of one triangle is \( 30\sqrt{6} \) square inches. - The number of triangles in the figure needs to be specified to provide an answer.