The following triangle shows the length of each side using expressions.
1 answer:
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Work shown above! Shaded region is the enclosed area
Answer: BO:OD = 1:2
Step-by-step explanation:
Here, ABCD is parallelogram, point M is the midpoint of the side BC , point O is the intersection point of the segment AM and diagonal BD.
Let N is the mid point AB ⇒ AN=NB or 2.BN=DC. ( because AB=DC)
And join Points N and C. (by construction)
Then, In triangles NOB and DOC,
∠NOB=∠DOC ( vertically opposite angles)
And, ∠OBN = ∠ODC ( By the property of interior alternative angles by same transversal)
Thus, By the property of similarity,
Therefore, =
