Question

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?

Answer 1

Answer:

(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.