To find the perimeter of this shape, we can use the Pythagorean theorem.
The formula for the perimeter of a right angled triangle is a^2 + b^2 = c^2, where c is the length of the hypotenuse.
We can use this formula to find the perimeter of ABCD.
First, let's calculate the length of AD, the hypotenuse:
A^2 + D^2 = C^2
D^2 = C^2 - A^2
D^2 = (20^2 - 6^2)
D^2 = 324
D = square root of 324
D = 18
So now we know that AD = 18 m.
Let's use the Pythagorean theorem to find the length of BC:
B^2 + D^2 = C^2
B^2 = C^2 - D^2
B^2 = (15^2 - 18^2)
B^2 = (121 - 324)
B^2 = -2016
Square root of -2016 is not possible, since -2016 is a negative number. Therefore, there is no possible solution for the length of BC.
The perimeter of ABCD is the same as the sum of the lengths of the sides. We already know the lengths of AD (18 meters) and A (6 meters), and we now know that the length of BC cannot be solved, but we can still calculate the perimeter of the rest of the shape, ACD, using the formula for the perimeter of a right angled triangle.
The formula for the perimeter also involves the square root of a negative number, but we can still calculate the length of AC and the length of CD using our knowledge of geometry.
Answers & Comments
Answer:
This is the information given:
* A = 6 m
* B = 15 m
* C = 20 m
* D = 12 m
To find the perimeter of this shape, we can use the Pythagorean theorem.
The formula for the perimeter of a right angled triangle is a^2 + b^2 = c^2, where c is the length of the hypotenuse.
We can use this formula to find the perimeter of ABCD.
First, let's calculate the length of AD, the hypotenuse:
A^2 + D^2 = C^2
D^2 = C^2 - A^2
D^2 = (20^2 - 6^2)
D^2 = 324
D = square root of 324
D = 18
So now we know that AD = 18 m.
Let's use the Pythagorean theorem to find the length of BC:
B^2 + D^2 = C^2
B^2 = C^2 - D^2
B^2 = (15^2 - 18^2)
B^2 = (121 - 324)
B^2 = -2016
Square root of -2016 is not possible, since -2016 is a negative number. Therefore, there is no possible solution for the length of BC.
The perimeter of ABCD is the same as the sum of the lengths of the sides. We already know the lengths of AD (18 meters) and A (6 meters), and we now know that the length of BC cannot be solved, but we can still calculate the perimeter of the rest of the shape, ACD, using the formula for the perimeter of a right angled triangle.
The formula for the perimeter also involves the square root of a negative number, but we can still calculate the length of AC and the length of CD using our knowledge of geometry.
AC^2 + CD^2 = AD^2
AC^2 = AD^2 - CD^2
AC^2 = (6^2 + 18^2) - (C^2 + D^2)
AC^