Ten times the sum of half of a number and 6 is 8

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn. if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.

The trigonometric ratios sine and secant are reciprocals of each other

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