ABCD is a rectangle. Its diagonals meet at O. If OA = 2x – 12 units, OD = 3x – 23 units. Find AC
Answers
Given:
- ABCD is a rectangle.
- It's diagonal meet at O.
- OA = 2x - 12 units
- OD = 3x - 23 units.
To Find:
The measure of AC.
Explanation:
All the diagonals are equal in length.
So, OA = OB = OC = OD _____ i
According to the question,
OA + OD = AC ( from eq. i )
By putting the values, we get
2x - 12 + 3x - 23 = AC
or, 5x - 35 = AC
Now we need to find the value of x.
OA = OD ( from eq. i )
2x - 12 = 3x - 23
or, -12 + 23 = 3x - 2x
or, 11 = x
The value of x is 11.
AC = 5x - 35 = 5(11) - 35 = 55 - 35 = 20 units.
Answer:
The length of AC is 20 units.
Answer:
Given:
ABCD is a rectangle.
It's diagonal meet at O.
OA = 2x - 12 units
OD = 3x - 23 units.
To Find:
The measure of AC.
Explanation:
All the diagonals are equal in length.
So, OA = OB = OC = OD _____ i
According to the question,
OA + OD = AC ( from eq. i )
By putting the values, we get
2x - 12 + 3x - 23 = AC
or, 5x - 35 = AC
Now we need to find the value of x.
OA = OD ( from eq. i )
2x - 12 = 3x - 23
or, -12 + 23 = 3x - 2x
or, 11 = x
The value of x is 11.
AC = 5x - 35 = 5(11) - 35 = 55 - 35 = 20 units.
Answer:
The length of AC is 20 units.