A piece of a tile is in the shape of a right triangle. The base is 1 1/2 centimeters and the height is 2 1/2 centimeters. What is the area in square centimeters?(1 point)
Responses
4 square centimeters
, 4 square centimeters
8 square centimeters
, 8 square centimeters
3 3/4 square centimeters
, 3 Start Fraction 3 over 4 end fraction, square centimeters
1 7/8 square centimeters
1 Start Fraction 7 over 8 end fraction, square centimeters
To find the area of the right triangle in square centimeters, you can use the formula:
Area = (1/2) * base * height.
Substitute the given values into the formula:
Area = (1/2) * 1 1/2 cm * 2 1/2 cm.
Now let's convert the mixed fractions into improper fractions:
1 1/2 = 3/2
2 1/2 = 5/2
Area = (1/2) * (3/2 cm) * (5/2 cm).
Multiply the fractions:
Area = (1/2) * (3/2 cm) * (5/2 cm) = (15/4) square centimeters.
Simplify the fraction:
Area = 3 3/4 square centimeters (or 3 3/4 cm^2).
To find the area of a right triangle, you need to multiply the base by the height and then divide by 2.
In this case, the base is 1 1/2 centimeters and the height is 2 1/2 centimeters.
To multiply a mixed number by a whole number, you first convert the mixed number to an improper fraction and then multiply.
Converting 1 1/2 to an improper fraction:
1 1/2 = 2/2 + 1/2 = 3/2
Now, multiply the base (3/2) by the height (2 1/2):
(3/2) * (5/2) = 15/4
Now, we divide the result by 2:
(15/4) / 2 = 15/8
Therefore, the area of the right triangle is 15/8 square centimeters.
Simplifying the fraction, we get:
(15/8) = 1 7/8
So the correct answer is "1 7/8 square centimeters."
The area of a triangle is given by the formula A = (1/2)bh, where b is the base and h is the height.
Plugging in the given values, we get:
A = (1/2)(1 1/2)(2 1/2)
A = (3/2)(5/2)
A = 15/4
A = 3 3/4
Therefore, the area of the triangle is 3 3/4 square centimeters. Answer: 3 3/4 square centimeters.