1. In the triangle PRS =120^° . A point Q is taken on PR such that PQ =QS and QR = RS. The measure of angle QPS is

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Q. In a

Δ P R S, ∠ P R S = 120^{o}

. A point

Q

is taken of

P R

such that

P Q = Q S

and

Q R = R S

then

∠ Q P S = . . . .

Q. Question 12
If S is a point on the side PQ of a

Δ

PQR such that PS = QS = RS, then

(A) (P R) (Q R) = R S^{2}

(B) Q S^{2} + R S^{2} = Q R^{2}

(C) P R^{2} + Q R^{2} = P Q^{2}

(D) P S^{2} + R S^{2} = P R^{2}

In Fig. T is a point on side QR of $Δ P Q R$ and S is a point such that RT = ST. Which of the following is true?

In the given figure, T is a point on side QR of $Δ P Q R$ and S is a point such that RT = ST.
Which of the following is true?

In Fig. PQRS is a quadrilateral in which diagonals PR and QS intersect in O. [4 MARKS]

Show that:
(i) PQ + QR + RS + SP $>$ PR + QS
(ii) PQ + QR + RS + SP $<$ 2 (PR + QS)

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