Rico and Darla each measured a side and height on the triangle below to find its area. Rico's side measured 7.5 m and Darla's side measured 9 m. Choose True or False for each statement. 1. Darla can use either the height of 6 meters or the height of 5 meters to find the area of the triangle. True or false? 2. If Darla uses the height of 6 meters and Rico uses the height of 5 meters, they will find the same area of the triangle. True or false? 3. If Rico uses the height of 6 meters and Darla uses the height of 5 meters, they will find the same area of the triangle. True or false? 4. The area of the triangle is 22.5 square meters. True or false?

(1) True

(2) False

(3) True

(4) True

Step-by-step explanation:

(1) It is true Darla can use either the height of 6 m or 5 m to find the area of the triangle because Darla already knows the measurement of a side of the triangle. Multiplying the side by either of the heights divided by 2 gives the area of the triangle.

(2) It is false they will find the same area of the triangle.

Area of triangle = (side*height) / 2

Darla's area of the triangle = (9*6) / 2 = 54/2 = 27 m^2

Rico's area of the triangle = (7.5*5) / 2 = 37.5/2 = 18.75 m^2

(3) It is true they will find the same area of the triangle.

Rico's area of the triangle = (7.5*6) / 2 = 45/2 = 22.5 m^2

Darla's area of the triangle = (9*5) / 2 = 45/2 = 22.5 m^2

(4) It is true the area of the triangle is 22.5 square meters as shown in part (3) above.