PQR is a triangle, right-angled at P. If PQ = 10 cm and PR = 24 cm, find QR.
LMN is a triangle, right-angled at N. If LN = 7 cm and LM = 25 cm, find MN
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Step-by-step explanation:
In right angled triangle
PQR = PQ + QR = PR
= 10 + QR = 24
= QR = 24 - 10
= QR = 14 cm
In right angled triangle
LMN = LM + MN = LN
= 25 + 7 = LN
= LN = 32
Answered by
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QR=26cm and MN= 24 cm
Step-by-step explanation:
In ∆PQR, angle QPR=90°
Therefore, By Pythagoras Theorem,
QR2=QP2+PR2
= QR2=(10)2+(24)2
= QR2=100+576
=QR2=676
= QR=√676
=QR= 26cm
In ∆LMN, angle LNM=90°
Therefore, By Pythagoras Theorem,
LM2= LN2+NM2
= (25)2= (7)2+NM2
= 625=49+NM2
= 625-49= NM2
= NM2= 576
= NM= √576
NM= 24cm
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