# ICSE Class 9 Answered

**in the adjoining figure x and y are midpoints of side ab and ac respectively of triangle ABC if BC is equals to 7 cm ab is equals to 8.4 cm and ac is equals to 7.4 CM then find the perimeter of trapezium xbc y**

Asked by jatinderkaur19852008 | 25 Apr, 2024, 06:25: PM

Expert Answer

Figure shows ΔABC , AB = 8.4 cm , AC = 7.4 cm and BC = 7 cm .

X and Y are mid points .

In a triangle, if mid points are connected by a line , then this line is parallel to third side and

length of this line is half of third side.

Hence XY = (1/2) BC = 3.5 cm

Perimeter of trapezium = XY+YC+CB+BX = ( 3.5+3.7+7.0+4.2) cm = 18.4 cm

Answered by Thiyagarajan K | 26 Apr, 2024, 08:50: AM

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