Question

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
The​

Answer 1

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

Answer 2

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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