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2 years ago

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

Mathematics

1 answer:

pantera1 [17]2 years ago

5 0

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

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