Question

In a AABC, ZA = 90°, AB = 5 cm and AC = 12 cm. If AD 1 BC, then length of AD is :
(A)
13
cm/
2
(B)
2√15
cm/
13
(C)
60/
13
(D)13 cm/
60

answer with proper explanation​

Answer 1

Answer:

correct answer is 60/13

Step-by-step explanation:

Aria of triangle=1/2,×hight×bases

given,∆ABC,angle A=90° ,AB=5cm,AC=12cm,AD=?

We know that,BC^=AB^+AC^

=5^+12^

=169cm^=13cm

There fore,ar(∆ABC)=1/2×AC×AB

=1/2×5×12cm^

=(5×6)cm^=30cm^

Sins,ar(∆ABC)=1/2×BC×AD

= 30 =13/2×AD

=AD=60/13cm