In PQR, angle PQR = 90°
PQ = 6 and QR = 8 then
the length of seg PR is
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Answered by
3
Answer:
Given that:
QP=8cm,PR=6cm and SR=3cm
(I) In △PQR and △SPR
∠PRQ=∠SRP (Common angle)
∠QPR=∠PSR (Given that)
∠PQR=∠PSR (Properties of triangle )
∴△PQR∼△SPR (By AAA)
(II)
SP
PQ
=
PR
QR
=
SR
PR
(Properties of similar triangles)
⇒
SP
8cm
=
3cm
6cm
⇒SP=4cm and
⇒
6cm
QR
=
3cm
6cm
⇒QR=12cm
(III)
ar(△SPR)
ar(△PQR)
=
SP
2
PQ
2
=
4
2
8
2
=4
Answered by
13
Answer:
PR=10
Step-by-step explanation:
pr=√pq²+qr²
pr=√6²+8²
pr=√36+64
pr=√100
pr=10
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