Question

Q no3: ABC is a right angled triangle. Given that AB - x cm, AC = x+1 cm and BC = x+2 cm
a Find x
b) Hence find the value of hypotenuse of the triangle.​

Answer 1

R.E.F. Image.

Area =150cm

2

Area =

2

1

×base×height=

2

1

×AC×AB

150=

2

1

×(x+5)×x

⇒300=x

2

+5x

⇒x

2

+5x−300=0

⇒x

2

+20x−15x−300=0

⇒x

2

(x+20)−15(x+20)=0

⇒(x+20)(x−15)=0

⇒x=15

∴AB=15cm,AC=x+5=15+5=20cm,

BC=

15

2

+20

2

=25cm