(Q3) Represent the following situations with suitable mathematical equations

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

Answer:

Let the length of smaller side be x cm

Then length of larger side=(x+5)cm

Given length of hypotenuse=25cm

xx+5 cm25 cm

we know that in right angle triangle(hypotenuse)2=(side)2+(side)2

So,x2+(x+5)2=()2
x2+x2+10x+25=
2x2+10x-=0
x2+5x-=0

Value of x from the above equation wil give the possible value of length of side of the given right angled triangle