Question

The hypotenuse of a right triangle is 30 cm and out
of the remaining two sides, one is larger than the
other by 6 cm. The sum of the lengths of the other
two sides is
​

Answer 1

Step-by-step explanation:

Let one side be xcm. Then the other side will be (x+5)cm. Therefore, from Pythagoras theorem

x

2

+(x+5)

2

=25

2

⇒x

2

+x

2

+10x+25=625

⇒x

2

+5x−300=0⇒x

2

+20x−15x−300=0

⇒x(x+20)−15(x+20)=0

⇒(x−15)(x+20)=0⇒x=15orx=−20

Rejecting x=−20, we have length of one side =15cm and that of the other side =(15+5)cm=20cm

Answer 2

Answer:

30÷6=5

there are 5 sides