Question

5. The hypotenuse of a right triangle is 25 cm, we know that the
difference of lengths of the other two sides is 5 cm. we would like
to find out the length of the two sides?​

Answer 1

Answer:

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Step-by-step explanation:

Let the sides of a triangle be x and (x+5)

We know that,

By Pythagoras Theorem,

(25)^=x^ + (x+5)^

625=x^ + x^ +10x +25

2x^ + 10x -600=0

x^ +20x -15x -300=0

(x +20)(x -15)=0

x= -20 and x=15

Since length can never be negative,

Therefore, x=15

Also, other side will be=x +5=15 +5=20

Hence the sides of the triangles are 15 and 20

Answer 2

Answer:

x=20 one side is 20 and second side length is (20-5)=15