Question

On the packaging for a triangular sail, the edge measurements for the sail are listed as 7 ft × 15 ft × 17 ft. Without unfurling the sail, you want to determine if the sail forms a right triangle, an acute triangle, or an obtuse triangle. Using the tools from this lesson, you determine that the general shape of the sail is a(n) triangle.

Answer 1

Consider the edge measurements of triangular sail as 7 ft × 15 ft × 17 ft.

To identify the type of triangle.

Let us compare the square of the length of the longest side with the sum of the squares of the lengths of the two shorter sides.

When the square of the length of the longest side is greater than the sum of the squares of the lengths of the two shorter sides, then it is an obtuse triangle.

When the square of the length of the longest side is less than the sum of the squares of the lengths of the two shorter sides, then it is an acute triangle.

When the square of the length of the longest side is equal to the sum of the squares of the lengths of the two shorter sides, then it is a right triangle.

Consider

Square of longest side = $(17)^2 = 289$

Sum of the square of the shortest sides = $(15)^2 +(7)^2$

= 274

Since, 289 is greater than 274.

Hence, it is an obtuse triangle.

Therefore, the general shape of the sail is an obtuse triangle.

Answer 2

Answer:

its obtuse

Step-by-step explanation: