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4 years ago

Help por favor I am having problems

Mathematics

1 answer:

pshichka [43]4 years ago

5 0

Answer:

∴ΔGHJ ≅ΔLMK

∴ΔABC≅ΔPQR

Step-by-step explanation:

GH= 3.6 , HJ=2.84 and GJ=2.24

LK= 9 ,KM= 5.6 and LM = 7.1

$\frac{LK}{GH} =\frac{KM}{GJ} =\frac{LM}{HJ}$

$\frac{9}{3.6} =\frac{5.6}{2.24} =\frac{7.1}{2.84} =2.5$

Therefore ΔGHJ and ΔLMK satisfy SSS rule(side-side-side)

∴ΔGHJ ≅ΔLMK

ΔABC

Since AB=AC this equivalent to the two angels of the triangle are equal

Then

∠CAB+∠CBA=180°-34°

⇔∠CAB=73° [∵∠CAB=∠CBA]

Similarly for ΔPQR ∴ ∠RPQ=∠RQP=73°

Therefore ΔABC and ΔPQR satisfy AAA rule(angle-angle-angle)

∴ΔABC≅ΔPQR

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