Question

In triangle ABC AB = 7.2cm BC = 4.8cm if AB is perpendicular to BC and CL is perpendicular to AB , if CL = 4 cm. find AM.​

Answer 1

In Δ ABC

Length of side AB = 7.2 cm

Length of side BC = 4.8 cm

Length of side CL = 4 cm

AM is perpendicular to BC  and CL is perpendicular AB

Area of Triangle= 1/2 * b* h

1/2 * BC * AM= 1/2* AB*CL

Entering the values -

1/2* 4.8 * AM = 1/2 * 7.2*4

AM= 28.8/4

AM = 6cm

Hence, the length of side is 6cm.