Question

Given 45-45-90 triangle with hypotenuse of 3cm solve for the other sides.

Answer 1

Answer:

$\sqrt{\frac{9}{2} }$

Step-by-step explanation:

Given dimensions:

   The right angle system is a 45 - 45 - 90

    Hypotenuse  = 3cm

Unknown:

Adjacent and opposite sides = ?

Solution:

In this triangle, the adjacent and opposite sides are equal to one another. So,

 Let adjacent  = y

        opposite  = y

For right angle triangles as this, using the Pythagoras theorem,

           hypotenuse²  = adjacent² + opposite²

 Insert the parameters and solve;

                    3² = y² + y²

                    2y²  = 9

                       y² = $\frac{9}{2}$

                       y = $\sqrt{\frac{9}{2} }$