Question

In a trapezium ABCD, E and Fare mid points of AD and BC. Find the length of EC if AB = 10 cm and
CD = 6 cm.

Answer 1

⚡ANSWER ⚡

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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Answer 2

Refer the attachment for your answer.

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