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What is the area of the triangle 10 13 12

Two line segments are shown in the figure below. suppose that the length of the line along the x-axis is 6, and the length of the hypotenuse of the triangle is 10. what is the equation of the hypotenuse line (shown in red, below)?

Cody was 165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.