Question

An engineer is planning to construct triangular halls on a new construction site. A scale model of the engineer's triangular halls is shown to the left. Each unit represents 10 feet. Which of the following statements are true about this scale model? Select three statements that apply.

a) The length of the base of the triangle is 20 units.
b) The height of the triangle is 5 units.
c) The area of the triangle is 100 square feet.
d) The model represents a right-angled triangle.

Answer 1

The scale model represents a triangular hall. The length of the base of the triangle is 20 units, the height is 5 units, and the area of the triangle is 1000 square feet. The model does not represent a right-angled triangle.

Step-by-step explanation:

The scale model represents a triangular hall. The length of the base of the triangle is 20 units, each unit representing 10 feet. So the length of the base of the triangle in the actual construction would be 20 units x 10 feet/unit = 200 feet.

The height of the triangle is 5 units, each unit representing 10 feet. So the height of the triangle in the actual construction would be 5 units x 10 feet/unit = 50 feet.

The area of a triangle is calculated using the formula: Area = (base x height) / 2. In the scale model, the base is 20 units and the height is 5 units. So the area of the triangle in the scale model is (20 units x 10 feet/unit) x (5 units x 10 feet/unit) / 2 = 1000 square feet. Therefore, statement c) is true.

Since the model is a triangular hall, it does not represent a right-angled triangle. Therefore, statement d) is not true.