Question

In right angle ∆ABC, BD hypotenuse Ac If AD = 4 , DC= 9 , then find BD

Answer 1

Answer:

6

Explanation:

given in the right angled triangle , triangle abc , bd is perpendicular to ac if ad =4 , dc=9 then find bd

in right angled triangle abc , a is common , angle abc = angle adb

bd is perpendicular to ac

abc is similar to adb

ab/ad=ac/ab

ab² = ad×ac (beacuse ac=ad+cd = 4+9=13)

ab²=4×13

ab²=52

ab=√52

ab=2√13

ab²=ad²+bd²

(2√13)²=4²+bd²

16+bd²=52

bd²=52-16

bd²=36

bd=6