Question

plzz answer fast ...........​

Answer 1

Answer:

x=20

Step-by-step explanation:

using Pythagoras theorem

(x+8)²+(x+1)²=(x+15)²

x²+64+16x+x²+1+2x=x²+225+30x

2x²+65+18x=x²+225+30x

2x²+65+18x-(x²+225+30x)=0

2x²+65+18x-x²-225-30x=0

x²-12x-160=0

x²-20x+8x-160=0 {factorisation is done here}

x(x-20)+8(x-20)=0

(x-20)(x+8)=0

=> x=20 ;x =-8{not possible in this case}

therefore x=20

now the sides are

AB=28 cm

BC=21cm

and AC=35 cm