Question

In ∆CAB,Seg CD ┴ seg AB,<B= 45º,AD=5,BD=8 and BC=8√2 then find CD and AB.​

Answer 1

Step-by-step explanation:

Given: AD=5cm, BD=8cm, BC=8√2cm

To Find: Value of CD and AB=?

AB=AD+BD

AB=(5+8)cm

AB=13cm

In ∆CDB,

by Pythagoras theorem,

(CD)^2=(CB)^2-(DB)^2

(CD)^2=(8√2)^2-(8)^2

(CD)^2=128-64

(CD)^2=64

CD. =√64cm

CD. =8cm. Answer.