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Answer :

Answer:

3.

equation = [tex]\sqrt{7^2 + 12^2 } = c[/tex]

Using:

[tex]\sqrt{a^2 + b^2 } = c[/tex] or [tex]a^2 + b^2 = c^2[/tex] or

7^2 + 12^2 = c^2

49 + 144 = c^2

c^2 = 193

missing length = 13.9 inches

4. equation = [tex]\sqrt{24^2 + 32^2} = c[/tex]

Using:

[tex]\sqrt{a^2 + b^2 } = c[/tex] or [tex]a^2 + b^2 = c^2[/tex]

24^2 + 32^2 = c^2

reduce to:

8 multiplied by everything:

3^2 + 4^2 = c^2

Since we know 3,4,5 is a Pythagorean triple, we can use this to find c.

Since c must be 5, we multiply by 8 since we divided by 8 earlier to get the 3,4,5 and get 40.

missing length = 40 inches