Answer:
[tex]HI=1/2 AB[/tex]
[tex](5x-1)=1/2\times 58[/tex]
[tex]5x-1=29[/tex]
[tex]5x=30[/tex]
[tex]x=6[/tex]
[tex]HI=5\times 6-1[/tex]
[tex]HI=29[/tex]
OAmalOHopeO
The required value of the x is 6 and HI is 29 in triangle ABC with H and I being midpoints of side AC and BC.
Image is shown, Where ABC is a triangle and H and I is midpoints of side AC and BC respectively.
HI = 5x - 1
AB = 58
value of x and HI is to be determined.
The triangle is a geometric shape that includes 3 sides and the sum of interior angles should not be greater than 180°.
Since,
HI = 1/2 * AB
HI = 1/2 *58
HI = 29
Now,
HI = 5x - 1
29 = 5x -1
5x = 29 + 1
5x = 30
x = 30/5
x = 6
Thus, the required value of the x is 6 and HI is 29 in triangle ABC with H and I being midpoints of side AC and BC.
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