Question

3. In a A ∆ABC right angled at A, AD is
perpendicular to BC. If AB = 5 cm and
AD = 3 cm, the length of DC is
(a) 2.25 cm
(b) 3.25 cm
(c) 3.5 cm
(d) 3.75 cm​

Answer 1

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MATHS

ΔABC is right angled at A. AD is perpendicular to BC. If AB=5cm, BC=13cm and AC=12cm, find the area of ΔABC. Also, find the length of AD.

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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.