Math, asked by UWUUWO, 2 months ago

pls help plssssssssssssssss

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Answered by SnehasishPurkait
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

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