Question

U Q. 3. PORS is a quadrilateral with SQ as one of its
diagonals. If SR =PQ = 4 cm, SQ = 5 cm and SQ
is prependicular to both SR and PQ, show that ar psq equal to srq​

Answer 1

In ∆PSQ and ∆QRS.

SR = PQ ,

SQ = QS (common side)

angleSR = anglePQ =90.

∆PSQ ≈ ∆QRS.

hence, their areas are equal.

area of ∆PSQ ≈ area of ∆QRS.

The area = 1/2 × 4 cm × 5 cm

= 10 cm²

Answer 2

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