Applying the definition of the diagonals of a rhombus, the value of m is -3, and the value of c is 26.
<h3>What are the Diagonals of a Rhombus?</h3>
The diagonals of a rhombus are perpendicular to each other and therefore have slopes that are negative reciprocals.
Equation of diagonal DB is, y = 1/3x + 5.
Slope (m) of DB is 1/3.
Therefore, the slope (m) of diagonal AC would be, -3.
To find the equation of diagonal AC, substitute m = -3 and (5, 11) = (a, b) into y - b = m(x - a)
y - 11 = -3(x - 5)
y - 11 = -3x + 15
y = -3x + 15 + 11
y = -3x + 26
m = -3; c = 26
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