Question

the national flag of scotland has a white diagonal on a blue backround Tracy is sewing a scottish flag she knows that the length of one diagonal will be 15 feet and the flag will be 9 feet high to the nearest foot how long will the scottish flag be

Answer 1

12 ft

Explanation:

The diagonal divides the flag into 2 right triangles.

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse (diagonal ) is equal to the sum of the squares on the other 2 sides.

let x be the length, then

x² + 9² = 15²

x² + 81 = 225 ( subtract 81 from both sides )

x² = 144 ( take the square root of both sides )

x =
`√(144)` = 12

The length of the flag is 12 ft

Answer 2

The answer is 12

a² = c² - b²

a² = 15² - 9²

a² = 225 - 81

a² = 144

a = √144

a = 12