Ben came up with a new idea for a clock and telling time. He wants to measure a day as two 10-"hour" cycles rather than two 12-hour cycles. However, Ben does not want to change the duration of a minute, so a day would still have the same number of minutes. How many minutes are there in a “Ben-clock hour”?
a) Calculate the lengths of segments AH , AB , AC .
b) Let M be the midpoint of AC. Calculate the angle of the AMB ( rounded to the nearest degree ) .
c) AK is perpendicular to BM ( K of BM ) . Proof : KC . BH = HM . BK
Question 1: Give triangle ABC in A . Call H , K is the midpoint of BC and AC respectively
a) Prove that the ABHK quadrilateral is trapezoid .
b) On the opposite beam of HA , take the point E such that H is the midpoint of AE . Proving the ABEC quadrilateral is a diamond .
c) Draw HN is the high line of the triangle AHB . Let I be the midpoint of AN , on the opposite beam of BH , taking the point M such that B is the midpoint of MH. Prove MN perpendicular to HI.