Question

Find the measure of the missing sides of the triangle if each missing angle is 45°

Answer 1

Answer:

the side lengths are both 7

Step-by-step explanation:

Because the angles are both 45 degrees, the triangle is isosceles:  the side lengths are equal.   The hypotenuse of a model 45-45-90 triangle is √2 when the sides are 1 each:

√2        1

------ = -------

7√2       x

                                          1         1

This can be reduced to  ----- = -----

                                           7        x

which makes it obvious that the side lengths are both 7.