Question

In ΔABC, <ABC = 90°, AB=8cm and bc=6cm. The length of the altitude from B on AC is
a-2cm
b-4.8cm
c-10cm
d-14cm​

Answer 1

Answer:

4.8 cm

Step-by-step explanation:

<ABC = 90°,

Thus ar( ΔABC)=1/2*AB*BC

=8*6/2=24 cm²

Now as per figure let the altitude from B to Ac=x

Then ar( ΔABC)=1/2*x*AC=24 cm²..............(1)

Now in AC²=AB²+BC²=64+36=100

So AC=10

From(1)

1/2*x*10=24

x=48/10-4.8 cm