Ja'Miles designs a sign for a store in the shape of a triangle. His design is 7.5 square feet in are, and the triangle has a height of 2.5 feet. What is the length of the base of his sign.
A: 6 feet
B: 0.6 feet
C: 10 feet
D: 3 feet
To find the length of the base of the triangle sign, you can use the formula for the area of a triangle:
Area = (1/2) * base * height
Given:
Area = 7.5 square feet
Height = 2.5 feet
Plugging in the values:
7.5 = (1/2) * base * 2.5
7.5 = 1.25 * base
base = 7.5 / 1.25
base = 6 feet
Therefore, the length of the base of the triangle sign is 6 feet.
Answer: A) 6 feet
Rainee cuts a triangle out of felt. The base of her triangle is 7 inches, and the area of her triangle is 43.75 square inches. What is the height of Rainee’s triangle? Write your answer in decimal form.(1 point)
To find the height of the triangle, you can use the formula for the area of a triangle:
Area = (1/2) * base * height
Given:
Base = 7 inches
Area = 43.75 square inches
Plugging in the values:
43.75 = (1/2) * 7 * height
43.75 = 3.5 * height
height = 43.75 / 3.5
height = 12.5 inches
Therefore, the height of Rainee's triangle is 12.5 inches.
Answer: 12.5 inches.