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AnnyKZ [126]
2 years ago
12

A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom o

f the mast. The length of the base of the sail is 4 inches. The height of the sail is along the mast

Mathematics
1 answer:
dezoksy [38]2 years ago
6 0

Answer:

12 square inches.

Step-by-step explanation:

Please consider the complete question.

A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom of the mast. The length of the base of the sail is 4 inches. The height of the sail is along the mast. Find the area of the sail.

The sail will form a right triangle with respect to mast, whose height is 6 inches and base is 4 inches as shown in the diagram.

The area of the sail will be equal to area of triangle.

\text{Area of triangle}=\frac{1}{2}(\text{Base}\times\text{Height})

\text{Area of triangle}=\frac{1}{2}(4\text{ in}\times6 \text{in})

\text{Area of triangle}=2\text{ in}\times 6 \text{in})

\text{Area of triangle}=12 \text{ in}^2

Therefore, the area of the sail is 12 square inches.

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