Question

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

Answer 1

(H)²=(B)²+(P)²
(25)²=(X)²+(X-5)²

Answer 2

Answer:

x² + 5x - 300 = 0

Step-by-step explanation:

Let the length of smaller side

be x cm

Then ,

length of larger side = ( x + 5 ) cm

Given length of hypotenuse = 25cm

In right angle triangle,

By Phythogarian theorem ,

( Hypotenuse )² = side² + side²

=> 25² = x² + ( x + 5 )²

=> 625 = x² + x² + 10x + 25

=> 625 = 2x² + 10x + 25

=> 2x² + 10x - 600 = 0

Dividing each term with 2 , we

get

=> x² + 5x - 300 = 0

Therefore ,

Value of x from the above equation

will give the possible value of

length of sides of the given

right angled triangle.

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