On the line AD,if AC=24 and CD=32,how do you find the length of AD.
Wouldn't you add 24 + 32?
To find the length of AD on the line, we can use the property of a straight line where the lengths of all segments on the line add up to the total length. In this case, we can add the lengths of AC and CD to find the length of AD.
AD = AC + CD
Substituting the given values:
AD = 24 + 32
AD = 56
Therefore, the length of AD is 56.
To find the length of AD, we can use the concept of the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, we can consider the triangle ADC as a right-angled triangle, with AD as the hypotenuse.
To find the length of AD, we need to apply the Pythagorean theorem:
AD^2 = AC^2 + CD^2
Given that AC = 24 and CD = 32, we can substitute these values into the equation:
AD^2 = 24^2 + 32^2
Simplifying further:
AD^2 = 576 + 1024
AD^2 = 1600
To find AD, we need to take the square root of both sides:
AD = √1600
AD = 40
Therefore, the length of AD is 40 units.