Question

In the adjoining figure, X and Y are the midpoints of AB and AC respectively.
Given that BC = 6cm; AB = 5.4 cm and AC = 5 cm. Calculate the perimeter of
the trapezium XYCB.

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Answer 1

Answer:

14.2cm

Step-by-step explanation:

Given: X and Y are the mid points of AB and AC. hence, by mid point theorem,

XY= ½ BC

XY= ½(6)

XY= 3cm

Perimeter of trapezium XYBC= XY+ YC+ BC+ XB

Perimeter of trapezium XYBC= XY+½AC+ BC+½AB

Perimeter of trapezium XYBC= 3+ ½(5)+ 6+ ½(5.4)

Perimeter of trapezium XYBC= 14.2cm