prestont180 prestont180

21-12-2020
Mathematics

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Points F (0,0), G (9,0), and H (9,12) are the vertices of a triangle.

What is the distance from point F to point H?

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unicorn3125 unicorn3125

23-12-2020

Answer:

15 units

Step-by-step explanation:

[tex]d_{FH}=\sqrt{(x_H-x_F)^2+(y_H-y_F)^2}\\\\F(0,0)\quad \implies\quad x_F=0\,,\ \ y_F=0\\\\H(9,12)\quad \implies\quad x_H=9\,,\ \ y_H=12\\\\d_{FH}=\sqrt{(9-0)^2+(12-0)^2}=\sqrt{81+144}=\sqrt{225}=15[/tex]

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