pls help plssssssssssssssss
Attachments:
Answers
Answered by
1
Answer:
x=8
Step-by-step explanation:-
Hypotenuse=20 cm
height= 12 cm
base= x+8 cm
as, (hypotenuse)^2=(height)^2 +(base)^2
∴ (20)^2=(12)^2+(x+8)^2
⇒400=144+ x^2+64+16x
⇒`x^2+16x=400-208
⇒x^2+16x-192=0
⇒x^2+24x-8x-192=0
⇒x(x+24)-8(x+24)=0
⇒(x+24)(x-8)=0
∴x= -24 , 8
as, x can not be in negetive
∴x=8
Similar questions