Question

In a right angled ∆ABC, ∠B= 90 , AB= 4 , AC = 5 . If ∆ABC ≅ ∆PQR, the length of QR is

Answer 1

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Answer 2

Answer:

QR= 3

Step-by-step explanation:

By data, for ∆ABC

• ∠B= 90 , AB= 4 , AC = 5 and ∆ABC ≅ ∆PQR
• ∠B=∠Q=90, ∠A=∠P, ∠C=∠R
• AB=PQ=5, AC=PR=5 &
• Let BC= QR=x

by using Pythagoras theorem for rectangle ∆ABC

AC²=AB²+BC²

${5}^{2} = {4}^{2} + {x}^{2} \\ 25 = 16 + {x}^{2} \\ {x}^{2} = 25 - 16 = 9 \\ x = 3$

therefore BC=QR=x=3