Question

If the sum of two sides of a right angled triangle is 23 cm and it's hypotenuse is 17 cm, find the sides​

Answer 1

Step-by-step explanation:

Let one side be xcm.Since the difference between the two sides is 7cm

∴ the other side=x+7cm

As the given triangle is a right angled triangle with hypotenuse =17cm

By using pythagoras theorem, we get

x2+(x+7)2=172

⇒x2+x2+14x+49−289=0

⇒2x2+14x−240=0

⇒x2+7x−120=0

⇒x2+15x−8x−120=0

⇒x(x+15)−8(x+15)=0

⇒(x+15)(x−8)=0

⇒x=−15 or x=8

x=−15 cannot be negative

∴x=8

Hence the two sides of the triangle are 8cm and 15cm....