# If in triangle abc angle a=90 degrees and ab=5cm and ac=12cm and ad is perpendicular to bc find ad

1
by Pixie3135

Log in to add a comment

by Pixie3135

Log in to add a comment

AB = 5cm

AC = 12cm

AD = ?

(ab)^2 + (ac)^2 = 169

BC = 13cm

sol : area of triangle ABC = 1/2 × b × h

= 1/2 × AB × AC

= 1/2 × 5 × 12 = 30cm sq

area of triangle ABC = 1/2 × b × h

= 1/2 × BC × AD

= 1/2 × 13 × AD

30cm sq = AD × 13/2

AD = 60/13 cm

AD = 4.61cm