Question

URGENT!!! PLEASE LOOK AT THE PICTURE!!! PLEASE HELP!!!!

Answer 1

Answer:

Step-by-step explanation:

this is a 45-45-90 triangle.  The angle opposite the 45° angle is also 45°.

HI = HJ because this is an isosceles triangle.

Use the cos function to find the length of HJ:

cos Ф = adj / hyp  or  adj = (hyp)(cos Ф).

                                                                                        1

Here we have  adj  = HI = HJ = 4√5 cos 45° = 4√5 · -----

                                                                                       √2, or 4√5 / √2

                                              4√10

This last result simplifies to ----------

                                                   2

or 2√10 (answer)

The length of side HJ and that of HI is 2/√10.