Question

Find AC and CD
plz give the correct answer
with step-by- step explanation​

Answer 1

Step-by-step explanation:

In triangle ABC

AB = 15 cm

BC = 20 cm

AC = ?

By Pythagoras theorem

(H)^2 = (B)^2 + (P)^2

(AC)^2= (BC)^2 + (AB)^2

(AC)^2 = (20)^2 + (15)^2

(AC)^2 = 400 + 225

(AC)^2 = 625

AC = √625

AC = 25 cm

In triangle ACD

AD = 24 cm

AC = 25 cm

CD = ?

By Pythagoras theorem

(H)^2 = (B)^2 + (P)^2

(AC)^2 = (AD)^2 + (CD)^2

(25)^2 = (24)^2 + (CD)^2

625 = 576 + (CD)^2

625- 576 = (CD)^2

49 = (CD)^2

√49 = CD

7 cm = CD