The diagram shows two
10
by
14
rectangles which are edge-to-edge and share a common vertex.
It also shows the centre
O
of one rectangle and the midpoint
M
of one edge of the other.
What is the distance
O
M
?
Answers
Answer:
24
Step-by-step explanation:
used by Pythagoras Theorem
Given : The diagram shows two 10 by 14
rectangles which are edge-to-edge and share a common vertex.
O is center of one rectangle
M is mid point of of one edge of other rectangle
To Find : Distance OM
Solution:
Lets consider Left bottom edge of rectangle as Origin ( 0 , 0)
Then position of O = ( 14/2 , 10/2)
= ( 7 , 5)
Position of M = ( 14 + 10/2 , 14)
= ( 19 , 14)
Distance between O and M
= √(19 - 7)² + ( 14 - 5)²
= √12² + 9²
= √144 + 81
= √225
= 15
Distance OM = 15
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