Question

In the given quadrilateral, QS is the bisector of /_S and /_Q. PS = 5 cm and PQ = 8cm. Find the measure of SR.​

Answer 1

Answer:

SteSolution

In figure,

Q

S

is the bisector of

∠

S

and

∠

Q

.

P

S

=

5

c

m

In

Δ

P

S

Q

 and

Δ

R

S

Q

∠

P

S

Q

=

∠

R

S

Q

[Since,

Q

S

is the bisector of

∠

S

.]

S

Q

=

S

Q

[Since, common side of

Δ

P

S

Q

and

Δ

R

S

Q

]

∠

P

Q

S

=

∠

R

Q

S

[Since,

Q

S

is the bisector of

∠

Q

.]

By, A.S.A  congruence criterion,

Δ

P

S

Q

≅

Δ

R

S

Q

By CPCT,

S

R

=

S

P

=

P

S

=

5

c

mp-by-step explanation: