Question

Find the third side in simplest radical form: 25

Answer 1

Answer:

$\boxed{ \bold{24}}$

Step-by-step explanation:

$\mathsf{given}$

$\mathsf{hypotenuse(h) = 25}$

$\sf{perpendicular (p) = 7}$

$\sf{base(b) = }$?

Now, Using Pythagoras theorem

$\sf{{h}^{2} = {p}^{2} + {b}^{2} }$

plug the values

⇒$\sf{ {25}^{2} = {7}^{2} + {b}^{2} }$

Evaluate the power

⇒$\sf{625 = 49 + {b}^{2} }$

Swap the sides of the equation

⇒$\sf{49 + {b}^{2} = 625}$

Move constant to right hand side and change it's sign

⇒$\sf{ {b}^{2} = 625 - 49}$

Calculate the difference

⇒$\sf{ {b}^{2} = 576}$

Squaring on both sides

⇒$\sf{b = 24}$

Hope I helped!

Best regards!