3) AABC ~ ALMN. AABC if AB = 5.5cm., BC = 6cm, CA = 4.5cm. and then find AABC and ALMN.
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Question

△ABC∼△LMN. In △ABC,AB=5.5cm,BC=6cm,CA=4.5cm. Construct △ABC and △LMN such that MNBC=45.
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Solution

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Construct △ABC such that AB=5.5cm,BC=6cm and CA=4.5cm.
△ABC and △LMN are similar.
Therefore, their corresponding sides are proportional.
∴LMAB=MNBC=NLCA=45
⇒LM5.5=MN6=NL4.5=45
⇒LM=54×5.5=4.4cm,MN=


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Question

△ABC∼△LMN. In △ABC,AB=5.5cm,BC=6cm,CA=4.5cm. Construct △ABC and △LMN such that MNBC=45.
Medium
Open in App
Solution

Verified by Toppr
Construct △ABC such that AB=5.5cm,BC=6cm and CA=4.5cm.
△ABC and △LMN are similar.
Therefore, their corresponding sides are proportional.
∴LMAB=MNBC=NLCA=45
⇒LM5.5=MN6=NL4.5=45
⇒LM=54×5.5=4.4cm,MN=


Join / Login
Question

△ABC∼△LMN. In △ABC,AB=5.5cm,BC=6cm,CA=4.5cm. Construct △ABC and △LMN such that MNBC=45.
Medium
Open in App
Solution

Verified by Toppr
Construct △ABC such that AB=5.5cm,BC=6cm and CA=4.5cm.
△ABC and △LMN are similar.
Therefore, their corresponding sides are proportional.
∴LMAB=MNBC=NLCA=45
⇒LM5.5=MN6=NL4.5=45
⇒LM=54×5.5=4.4cm,MN=
Step-by-step explanation:
4.4 cm ans