ABCD is a trapezium in which AB is parallel to CD. P &Q are midpoints of side AD & BC. If AB=10 cm.DC=16 cm then find the length of PQ?
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Answered by
66
Answer : 13 cm
Step - by - step explanation :
Join AC and name point of interesting as O.
In ∆ADC,
P is mid point and PQ || CD,
Therefore, O is also mid point on diagonal AC.
Hence, OP = ½ CD
Here, CD = 16 cm
OP = ½ × 16 cm = 8 cm
In ∆ABC,
Q is mid point on BC and OQ || AB
OQ = ½ AB
Here, AB = 10 cm
OQ = ½ × 10 cm = 5 cm
Now, PQ = OP + OQ
PQ = 8 cm + 5 cm = 13 cm
Step - by - step explanation :
Join AC and name point of interesting as O.
In ∆ADC,
P is mid point and PQ || CD,
Therefore, O is also mid point on diagonal AC.
Hence, OP = ½ CD
Here, CD = 16 cm
OP = ½ × 16 cm = 8 cm
In ∆ABC,
Q is mid point on BC and OQ || AB
OQ = ½ AB
Here, AB = 10 cm
OQ = ½ × 10 cm = 5 cm
Now, PQ = OP + OQ
PQ = 8 cm + 5 cm = 13 cm
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ShuchiRecites:
Thanks Kristyna sis
Answered by
5
Answer:
13 cm of PQ say tanks to me
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