Question

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

hypotenus 7 root 2

Answer 1

the side lengths are both 7

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.