3. PORS is a quadrilateral with SQ as one of itsdiagonals. If SR-PQ =

1.	3. PORS is a quadrilateral with SQ as one of itsdiagonals. If SR-PQ = 4 cm, S 2-5 cm and SQis prependicular to both SR and PQ. show that ar[Board Term II, 20141(APSQ) = ar (ASRQ).
Answer» Compare triangles PSQ and QRS. SR = PQ , SQ is a common side. the angle between SR and SQ in triangle SRQ is 90 = the angle between PQ and SQ which is 90. two sides and the angle between them are equal in both triangles. so the triangles are congruent. hence their areas are equal. the area = 1/2 * 4 cm * 5 cm = 10 cm^2

3. PORS is a quadrilateral with SQ as one of itsdiagonals. If SR-PQ = 4 cm, S 2-5 cm and SQis prependicular to both SR and PQ. show that ar[Board Term II, 20141(APSQ) = ar (ASRQ).

Answer»

Compare triangles PSQ and QRS.

SR = PQ , SQ is a common side. the angle between SR and SQ in triangle SRQ is 90 = the angle between PQ and SQ which is 90.

two sides and the angle between them are equal in both triangles.

so the triangles are congruent.

hence their areas are equal.

the area = 1/2 * 4 cm * 5 cm = 10 cm^2