Question

∆ ABC is aright angled triangle in which /_ A= 90° and AM |_ BC AM =AB×AC/BC.Also if AB=30 cm and AC=40 cm,find AM.​

Answer 1

Answer:

24 cm

Step-by-step explanation:

BC2=AB2+AC2=1600+900=2500=50♤2

SO,BC=50cm

AM=AB×AC/BC=30×40/50=24

Answer 2

Answer:

AM=24cm

Step-by-step explanation:

In a right triangle

By pythagorous theorem

(hypotenuse)sq=(base)sq+(height)sq

then

BC sq=AB sq +AC sq

BC sq=30*30+40*40

BC sq=900+1600

BC sq=2500

then BC =root 2500

BC =50

given

AM=AB*AC/BC

substituting those values u get

AM = 24cm