Question

Friends plz answer this question r else u will not be marked as brainlist ​

Answer 1

Answer:

(1)- 4/5

Step-by-step explanation:

suppose length of AD=x

putting Pythagoras theorem

20×20 = (12×12) + (x+9)(x+9)

400= 144 + x^2+81+18x

400-81-144 = x^2+18x

185 = x^2+18x

x^2+18x-175=0

x^2+x(25-7)-175=0

x^2+25x-7x-175=0

x(x+25)-7(x+25)=0

(x-7)(x+25)=0

x=7 , -25

as length cannot be negative , so length of AD is 7

now total length of AC is 9+7=16

sin of angle ABC =P/H = AC/AB

= 16/20 = 4/5