Question

A. Find the length of the midsegment of an equilateral triangle with side lengths of 12.5 cm.

Answer 1

Answer:

• a. 6.25
• b. AT = 33
• c. y = 3

Step-by-step explanation:

a. Midsegment is half the length of the parallel side:

• 12.5/2 = 6.25

b. Segment addition postulate:

• AB = AT + TB = 3x + 6 + 42 - x = 2x + 48

Perpendicular bisector of segment divides the segment in two equal halves:

• AT = TB
• 3x + 6 = 42 - x
• 4x = 36
• x = 9

AT is:

• AT = 3*9 + 6
•      = 33

c) The point on the angle bisector H is equidistant from the point E and G:

• EH = HG
• 5y + 10 = 28 - y
• 5y + y = 28 - 10
• 6y = 18
• y = 3