Question

In a right anfle triangle one side is equal to 25cm and the other equal to 24cm .find out length of the third side​

Answer 1

Answer:

The length of third side is $34.66$ cm.

Step-by-step explanation:

Given : In a right angle triangle,  

          One side = $25$ m

          Other side = $24$ m

To find : Third side =?

Solution :

• It is given that in a right angle triangle,

         One side = $25$ m

         Other side = $24$ m

• We have to find the length of third side.
• As the given triangle is right angled triangle, use the Pythagoras theorem.
• Pythagoras theorem states that " In a right angled triangle, the square of hypotenuse side is the addition of squares of other two sides."
• ∴ In a right angle triangle, By Pythagoras theorem,

     ∴ $(Thirdside)^{2} = (one side)^{2} +(other side)^{2}$

        ∴ $(Third side)^{2} =25^{2} +24^{2}$

                            $=625+576$

                            $=1201$

•  Now, taking square roots of both the sides, we get

       ∴ Third side = $\sqrt{1201}$    

                         = $34.66$ cm

• ∴ The length of third side is $34.66$ cm.