H is the circumcenter of ΔACE. Triangle A C E has point H as its circumcenter. Lines are drawn from the points of the triangle to point H. Lines are drawn from point H to the sides of the triangle to form right angles. Line segments H D, H F, and H B are formed. The length of A H is 2 x + 32 and the length of C H is 6 x. What is the length of Line segment H A? 7 units 8 units 24 units 48 units

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Answer:

It's 48 I just did the assignment

Step-by-step explanation:

If length of AH is 2x+32 and the length of CH is 6x and H is circumcenter of triangle then AH will be 48 units.

What is circumcenter of triangle?

Circumcenter is a point in the center of the triangle such that the length from all corners to the point are equal to each other.

How to find length of triangle?

In triangle ACE, H is the circumcenter so all the lengths from corners to the circumcenter are equal to each other.

AH=CH

2x+32=6x

32=4x

x=8

put the value of x in AH=2x+32 to get the length of AH.

AH=2*8+32

=16+32

=48

Hence the length of AH is 48 units.

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