Given: BE and AD are altitudes (intersecting at H) of triangle ABC, while F, G, and K are midpoints of AH, AB and BC, respectively. Prove: angle FGK is a right angle.

Solution :

Since is an altitude of a triangle , it is perpendicular to (since the triangle ).

Since and are the midpoints, then the line and the line . The line must be parallel to the line and is therefore perpendicular to

Now since F and are the mid points, we get  . The line is parallel to BH  and is perpendicular to AC.

Therefore, we have

parallel to

perpendicular to

parallel to

Thus is perpendicular to and also ∠ is a right angle.

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

the answer would be c:   ax + b = ax + c

step-by-step explanation: