Question

In triangle ABC BC = 5 cm and CA = 10 cm. AL is perpendicular to CB and BM is perpendicular to AC. Find the length of BM
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Answer 1

Answer:

In right angles triangle BAC, AB=5cm and AC=12cm

Area of triangle=

2

1

×base×height=

2

1

×AB×AC

=

2

1

×5×12=30cm

2

Now, in ΔABC,

Area of triangle ABC=

2

1

×BC×AD

⇒30=

2

1

×13×AD

⇒ AD=

13

30×2

=

13

60

cm

Step-by-step explanation:

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