The hypotenuse of a right angled triangle is 24 cm and triangle is one side 5 cm longer than the other. Find the length of both sides.

Question

This question is asking for the hypotneuse and i have no idea how to set it up or solve

Answer 1

I will give you a hint.

 

Let one side = x

Let the other side = x + 5

Hypotenuse = 24

 

Because we have a right triangle, you will apply the Pythagorean theorem to come up with an equation using the variables.

 

x² + (x + 5)² = 24²

 

Then solve for x from this equation.  To ensure you that you performed the simplification of this equation correctly, you should get a quadratic equation in the end.  You will solve for quadratic equation for x.  Then once you solved for x, then substitute that value to find the actual sides.

 

Continue from this point.