Answer :

MrRoyal

Answer:

4.8 inches

Step-by-step explanation:

See comment for complete question

Represent the larger triangle with 1 and the smaller with 2.

So, we have:

[tex]H_1 =6\ in[/tex] -- height of 1

Required

Determine H2 --- Height of 2

To do this we apply dilation formula.

[tex]Original * Scale\ Factor = New[/tex]

In this case:

[tex]H_1 * Scale\ Factor = H_2[/tex]

Substitute 6 for H1 and 0.8 for Scale Factor

[tex]6* 0.8 = H_2[/tex]

[tex]4.8= H_2[/tex]

Hence, the height of the smaller triangle is 4.8 inches

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